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Finding the Third Proportional to 252,115.75 and 542,463.75

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Solution

The third proportional to 252,115.75 and 542,463.75 is: 1,167,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,115.75 : 542,463.75 = 542,463.75 : x
  2. Step 2: Convert to fraction form
    252,115.75/542,463.75 = 542,463.75/x
  3. Step 3: Cross multiply
    252,115.75x = 542,463.75 × 542,463.75
  4. Step 4: Simplify right side
    252,115.75x = 294,266,920,064.06
  5. Step 5: Solve for x
    x = 294,266,920,064.06/252,115.75
  6. Step 6: Final answer
    x = 1,167,189.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.