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Finding the Third Proportional to 108,894 and 234,471

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Solution

The third proportional to 108,894 and 234,471 is: 504,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,894 : 234,471 = 234,471 : x
  2. Step 2: Convert to fraction form
    108,894/234,471 = 234,471/x
  3. Step 3: Cross multiply
    108,894x = 234,471 × 234,471
  4. Step 4: Simplify right side
    108,894x = 54,976,649,841
  5. Step 5: Solve for x
    x = 54,976,649,841/108,894
  6. Step 6: Final answer
    x = 504,863.90

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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.