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Finding the Third Proportional to 231,634.13 and 500,172.75

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Solution

The third proportional to 231,634.13 and 500,172.75 is: 1,080,034.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,634.13 : 500,172.75 = 500,172.75 : x
  2. Step 2: Convert to fraction form
    231,634.13/500,172.75 = 500,172.75/x
  3. Step 3: Cross multiply
    231,634.13x = 500,172.75 × 500,172.75
  4. Step 4: Simplify right side
    231,634.13x = 250,172,779,842.56
  5. Step 5: Solve for x
    x = 250,172,779,842.56/231,634.13
  6. Step 6: Final answer
    x = 1,080,034.21

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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.