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Finding the Third Proportional to 168,657 and 252,073.50

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Solution

The third proportional to 168,657 and 252,073.50 is: 376,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,657 : 252,073.50 = 252,073.50 : x
  2. Step 2: Convert to fraction form
    168,657/252,073.50 = 252,073.50/x
  3. Step 3: Cross multiply
    168,657x = 252,073.50 × 252,073.50
  4. Step 4: Simplify right side
    168,657x = 63,541,049,402.25
  5. Step 5: Solve for x
    x = 63,541,049,402.25/168,657
  6. Step 6: Final answer
    x = 376,747.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.