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Finding the Third Proportional to 108,563 and 239,214

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Solution

The third proportional to 108,563 and 239,214 is: 527,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,563 : 239,214 = 239,214 : x
  2. Step 2: Convert to fraction form
    108,563/239,214 = 239,214/x
  3. Step 3: Cross multiply
    108,563x = 239,214 × 239,214
  4. Step 4: Simplify right side
    108,563x = 57,223,337,796
  5. Step 5: Solve for x
    x = 57,223,337,796/108,563
  6. Step 6: Final answer
    x = 527,097.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.