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Finding the Third Proportional to 123,352 and 269,530

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Solution

The third proportional to 123,352 and 269,530 is: 588,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,352 : 269,530 = 269,530 : x
  2. Step 2: Convert to fraction form
    123,352/269,530 = 269,530/x
  3. Step 3: Cross multiply
    123,352x = 269,530 × 269,530
  4. Step 4: Simplify right side
    123,352x = 72,646,420,900
  5. Step 5: Solve for x
    x = 72,646,420,900/123,352
  6. Step 6: Final answer
    x = 588,935.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.