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Finding the Third Proportional to 238,147.31 and 513,685.69

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Solution

The third proportional to 238,147.31 and 513,685.69 is: 1,108,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,147.31 : 513,685.69 = 513,685.69 : x
  2. Step 2: Convert to fraction form
    238,147.31/513,685.69 = 513,685.69/x
  3. Step 3: Cross multiply
    238,147.31x = 513,685.69 × 513,685.69
  4. Step 4: Simplify right side
    238,147.31x = 263,872,985,542.35
  5. Step 5: Solve for x
    x = 263,872,985,542.35/238,147.31
  6. Step 6: Final answer
    x = 1,108,024.20

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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.