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Finding the Third Proportional to 123,482 and 269,563

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Solution

The third proportional to 123,482 and 269,563 is: 588,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,482 : 269,563 = 269,563 : x
  2. Step 2: Convert to fraction form
    123,482/269,563 = 269,563/x
  3. Step 3: Cross multiply
    123,482x = 269,563 × 269,563
  4. Step 4: Simplify right side
    123,482x = 72,664,210,969
  5. Step 5: Solve for x
    x = 72,664,210,969/123,482
  6. Step 6: Final answer
    x = 588,459.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.