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Finding the Third Proportional to 123,348 and 269,522

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Solution

The third proportional to 123,348 and 269,522 is: 588,920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,348 : 269,522 = 269,522 : x
  2. Step 2: Convert to fraction form
    123,348/269,522 = 269,522/x
  3. Step 3: Cross multiply
    123,348x = 269,522 × 269,522
  4. Step 4: Simplify right side
    123,348x = 72,642,108,484
  5. Step 5: Solve for x
    x = 72,642,108,484/123,348
  6. Step 6: Final answer
    x = 588,920.04

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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.