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Finding the Third Proportional to 179,454 and 261,391.50

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Solution

The third proportional to 179,454 and 261,391.50 is: 380,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,454 : 261,391.50 = 261,391.50 : x
  2. Step 2: Convert to fraction form
    179,454/261,391.50 = 261,391.50/x
  3. Step 3: Cross multiply
    179,454x = 261,391.50 × 261,391.50
  4. Step 4: Simplify right side
    179,454x = 68,325,516,272.25
  5. Step 5: Solve for x
    x = 68,325,516,272.25/179,454
  6. Step 6: Final answer
    x = 380,741.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.