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Finding the Third Proportional to 108,753 and 238,782

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Solution

The third proportional to 108,753 and 238,782 is: 524,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,753 : 238,782 = 238,782 : x
  2. Step 2: Convert to fraction form
    108,753/238,782 = 238,782/x
  3. Step 3: Cross multiply
    108,753x = 238,782 × 238,782
  4. Step 4: Simplify right side
    108,753x = 57,016,843,524
  5. Step 5: Solve for x
    x = 57,016,843,524/108,753
  6. Step 6: Final answer
    x = 524,278.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.