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Finding the Third Proportional to 108,881 and 234,448

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Solution

The third proportional to 108,881 and 234,448 is: 504,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,881 : 234,448 = 234,448 : x
  2. Step 2: Convert to fraction form
    108,881/234,448 = 234,448/x
  3. Step 3: Cross multiply
    108,881x = 234,448 × 234,448
  4. Step 4: Simplify right side
    108,881x = 54,965,864,704
  5. Step 5: Solve for x
    x = 54,965,864,704/108,881
  6. Step 6: Final answer
    x = 504,825.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.