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Finding the Third Proportional to 232,449.75 and 340,711.31

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Solution

The third proportional to 232,449.75 and 340,711.31 is: 499,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,449.75 : 340,711.31 = 340,711.31 : x
  2. Step 2: Convert to fraction form
    232,449.75/340,711.31 = 340,711.31/x
  3. Step 3: Cross multiply
    232,449.75x = 340,711.31 × 340,711.31
  4. Step 4: Simplify right side
    232,449.75x = 116,084,198,465.47
  5. Step 5: Solve for x
    x = 116,084,198,465.47/232,449.75
  6. Step 6: Final answer
    x = 499,394.81

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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.