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Finding the Third Proportional to 224,268.75 and 386,947.13

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Solution

The third proportional to 224,268.75 and 386,947.13 is: 667,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,268.75 : 386,947.13 = 386,947.13 : x
  2. Step 2: Convert to fraction form
    224,268.75/386,947.13 = 386,947.13/x
  3. Step 3: Cross multiply
    224,268.75x = 386,947.13 × 386,947.13
  4. Step 4: Simplify right side
    224,268.75x = 149,728,077,545.77
  5. Step 5: Solve for x
    x = 149,728,077,545.77/224,268.75
  6. Step 6: Final answer
    x = 667,627.91

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.