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Finding the Third Proportional to 108,764 and 239,596

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Solution

The third proportional to 108,764 and 239,596 is: 527,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,764 : 239,596 = 239,596 : x
  2. Step 2: Convert to fraction form
    108,764/239,596 = 239,596/x
  3. Step 3: Cross multiply
    108,764x = 239,596 × 239,596
  4. Step 4: Simplify right side
    108,764x = 57,406,243,216
  5. Step 5: Solve for x
    x = 57,406,243,216/108,764
  6. Step 6: Final answer
    x = 527,805.55

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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.