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Finding the Third Proportional to 108,746 and 238,876

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Solution

The third proportional to 108,746 and 238,876 is: 524,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,746 : 238,876 = 238,876 : x
  2. Step 2: Convert to fraction form
    108,746/238,876 = 238,876/x
  3. Step 3: Cross multiply
    108,746x = 238,876 × 238,876
  4. Step 4: Simplify right side
    108,746x = 57,061,743,376
  5. Step 5: Solve for x
    x = 57,061,743,376/108,746
  6. Step 6: Final answer
    x = 524,724.99

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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.