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Finding the Third Proportional to 108,739 and 238,862

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Solution

The third proportional to 108,739 and 238,862 is: 524,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,739 : 238,862 = 238,862 : x
  2. Step 2: Convert to fraction form
    108,739/238,862 = 238,862/x
  3. Step 3: Cross multiply
    108,739x = 238,862 × 238,862
  4. Step 4: Simplify right side
    108,739x = 57,055,055,044
  5. Step 5: Solve for x
    x = 57,055,055,044/108,739
  6. Step 6: Final answer
    x = 524,697.26

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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.