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Finding the Third Proportional to 180,145.50 and 417,477.75

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Solution

The third proportional to 180,145.50 and 417,477.75 is: 967,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,145.50 : 417,477.75 = 417,477.75 : x
  2. Step 2: Convert to fraction form
    180,145.50/417,477.75 = 417,477.75/x
  3. Step 3: Cross multiply
    180,145.50x = 417,477.75 × 417,477.75
  4. Step 4: Simplify right side
    180,145.50x = 174,287,671,745.06
  5. Step 5: Solve for x
    x = 174,287,671,745.06/180,145.50
  6. Step 6: Final answer
    x = 967,482.79

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.