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Finding the Third Proportional to 150,015 and 232,222.50

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Solution

The third proportional to 150,015 and 232,222.50 is: 359,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,015 : 232,222.50 = 232,222.50 : x
  2. Step 2: Convert to fraction form
    150,015/232,222.50 = 232,222.50/x
  3. Step 3: Cross multiply
    150,015x = 232,222.50 × 232,222.50
  4. Step 4: Simplify right side
    150,015x = 53,927,289,506.25
  5. Step 5: Solve for x
    x = 53,927,289,506.25/150,015
  6. Step 6: Final answer
    x = 359,479.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.