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Finding the Third Proportional to 168,686.25 and 252,549.75

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Solution

The third proportional to 168,686.25 and 252,549.75 is: 378,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,686.25 : 252,549.75 = 252,549.75 : x
  2. Step 2: Convert to fraction form
    168,686.25/252,549.75 = 252,549.75/x
  3. Step 3: Cross multiply
    168,686.25x = 252,549.75 × 252,549.75
  4. Step 4: Simplify right side
    168,686.25x = 63,781,376,225.06
  5. Step 5: Solve for x
    x = 63,781,376,225.06/168,686.25
  6. Step 6: Final answer
    x = 378,106.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.