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Finding the Third Proportional to 232,765.31 and 312,805.13

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Solution

The third proportional to 232,765.31 and 312,805.13 is: 420,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,765.31 : 312,805.13 = 312,805.13 : x
  2. Step 2: Convert to fraction form
    232,765.31/312,805.13 = 312,805.13/x
  3. Step 3: Cross multiply
    232,765.31x = 312,805.13 × 312,805.13
  4. Step 4: Simplify right side
    232,765.31x = 97,847,046,226.27
  5. Step 5: Solve for x
    x = 97,847,046,226.27/232,765.31
  6. Step 6: Final answer
    x = 420,367.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.