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Finding the Third Proportional to 232,824.38 and 360,513.28

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Solution

The third proportional to 232,824.38 and 360,513.28 is: 558,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,824.38 : 360,513.28 = 360,513.28 : x
  2. Step 2: Convert to fraction form
    232,824.38/360,513.28 = 360,513.28/x
  3. Step 3: Cross multiply
    232,824.38x = 360,513.28 × 360,513.28
  4. Step 4: Simplify right side
    232,824.38x = 129,969,825,957.64
  5. Step 5: Solve for x
    x = 129,969,825,957.64/232,824.38
  6. Step 6: Final answer
    x = 558,231.18

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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.