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Finding the Third Proportional to 152,414.16 and 352,945.97

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Solution

The third proportional to 152,414.16 and 352,945.97 is: 817,318.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,414.16 : 352,945.97 = 352,945.97 : x
  2. Step 2: Convert to fraction form
    152,414.16/352,945.97 = 352,945.97/x
  3. Step 3: Cross multiply
    152,414.16x = 352,945.97 × 352,945.97
  4. Step 4: Simplify right side
    152,414.16x = 124,570,856,856.88
  5. Step 5: Solve for x
    x = 124,570,856,856.88/152,414.16
  6. Step 6: Final answer
    x = 817,318.15

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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.