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Finding the Third Proportional to 132,421.13 and 294,264.75

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Solution

The third proportional to 132,421.13 and 294,264.75 is: 653,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,421.13 : 294,264.75 = 294,264.75 : x
  2. Step 2: Convert to fraction form
    132,421.13/294,264.75 = 294,264.75/x
  3. Step 3: Cross multiply
    132,421.13x = 294,264.75 × 294,264.75
  4. Step 4: Simplify right side
    132,421.13x = 86,591,743,092.56
  5. Step 5: Solve for x
    x = 86,591,743,092.56/132,421.13
  6. Step 6: Final answer
    x = 653,911.85

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.