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Finding the Third Proportional to 231,685.31 and 541,282.50

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Solution

The third proportional to 231,685.31 and 541,282.50 is: 1,264,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,685.31 : 541,282.50 = 541,282.50 : x
  2. Step 2: Convert to fraction form
    231,685.31/541,282.50 = 541,282.50/x
  3. Step 3: Cross multiply
    231,685.31x = 541,282.50 × 541,282.50
  4. Step 4: Simplify right side
    231,685.31x = 292,986,744,806.25
  5. Step 5: Solve for x
    x = 292,986,744,806.25/231,685.31
  6. Step 6: Final answer
    x = 1,264,589.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.