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Finding the Third Proportional to 108,745 and 238,767

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Solution

The third proportional to 108,745 and 238,767 is: 524,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,745 : 238,767 = 238,767 : x
  2. Step 2: Convert to fraction form
    108,745/238,767 = 238,767/x
  3. Step 3: Cross multiply
    108,745x = 238,767 × 238,767
  4. Step 4: Simplify right side
    108,745x = 57,009,680,289
  5. Step 5: Solve for x
    x = 57,009,680,289/108,745
  6. Step 6: Final answer
    x = 524,251.05

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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.