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Finding the Third Proportional to 232,494.89 and 329,070.52

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Solution

The third proportional to 232,494.89 and 329,070.52 is: 465,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,494.89 : 329,070.52 = 329,070.52 : x
  2. Step 2: Convert to fraction form
    232,494.89/329,070.52 = 329,070.52/x
  3. Step 3: Cross multiply
    232,494.89x = 329,070.52 × 329,070.52
  4. Step 4: Simplify right side
    232,494.89x = 108,287,404,253.70
  5. Step 5: Solve for x
    x = 108,287,404,253.70/232,494.89
  6. Step 6: Final answer
    x = 465,762.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.