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Finding the Third Proportional to 234,073.31 and 353,569.88

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Solution

The third proportional to 234,073.31 and 353,569.88 is: 534,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,073.31 : 353,569.88 = 353,569.88 : x
  2. Step 2: Convert to fraction form
    234,073.31/353,569.88 = 353,569.88/x
  3. Step 3: Cross multiply
    234,073.31x = 353,569.88 × 353,569.88
  4. Step 4: Simplify right side
    234,073.31x = 125,011,656,507.52
  5. Step 5: Solve for x
    x = 125,011,656,507.52/234,073.31
  6. Step 6: Final answer
    x = 534,070.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.