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Finding the Third Proportional to 108,719.50 and 238,877

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Solution

The third proportional to 108,719.50 and 238,877 is: 524,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,719.50 : 238,877 = 238,877 : x
  2. Step 2: Convert to fraction form
    108,719.50/238,877 = 238,877/x
  3. Step 3: Cross multiply
    108,719.50x = 238,877 × 238,877
  4. Step 4: Simplify right side
    108,719.50x = 57,062,221,129
  5. Step 5: Solve for x
    x = 57,062,221,129/108,719.50
  6. Step 6: Final answer
    x = 524,857.28

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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.