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Finding the Third Proportional to 132,451.31 and 283,978.13

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Solution

The third proportional to 132,451.31 and 283,978.13 is: 608,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,451.31 : 283,978.13 = 283,978.13 : x
  2. Step 2: Convert to fraction form
    132,451.31/283,978.13 = 283,978.13/x
  3. Step 3: Cross multiply
    132,451.31x = 283,978.13 × 283,978.13
  4. Step 4: Simplify right side
    132,451.31x = 80,643,575,478.52
  5. Step 5: Solve for x
    x = 80,643,575,478.52/132,451.31
  6. Step 6: Final answer
    x = 608,854.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.