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Finding the Third Proportional to 232,291.13 and 340,759.13

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Solution

The third proportional to 232,291.13 and 340,759.13 is: 499,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,291.13 : 340,759.13 = 340,759.13 : x
  2. Step 2: Convert to fraction form
    232,291.13/340,759.13 = 340,759.13/x
  3. Step 3: Cross multiply
    232,291.13x = 340,759.13 × 340,759.13
  4. Step 4: Simplify right side
    232,291.13x = 116,116,781,270.77
  5. Step 5: Solve for x
    x = 116,116,781,270.77/232,291.13
  6. Step 6: Final answer
    x = 499,876.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.