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Finding the Third Proportional to 132,743 and 286,617.50

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Solution

The third proportional to 132,743 and 286,617.50 is: 618,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,743 : 286,617.50 = 286,617.50 : x
  2. Step 2: Convert to fraction form
    132,743/286,617.50 = 286,617.50/x
  3. Step 3: Cross multiply
    132,743x = 286,617.50 × 286,617.50
  4. Step 4: Simplify right side
    132,743x = 82,149,591,306.25
  5. Step 5: Solve for x
    x = 82,149,591,306.25/132,743
  6. Step 6: Final answer
    x = 618,861.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.