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Finding the Third Proportional to 123,008 and 269,488

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Solution

The third proportional to 123,008 and 269,488 is: 590,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,008 : 269,488 = 269,488 : x
  2. Step 2: Convert to fraction form
    123,008/269,488 = 269,488/x
  3. Step 3: Cross multiply
    123,008x = 269,488 × 269,488
  4. Step 4: Simplify right side
    123,008x = 72,623,782,144
  5. Step 5: Solve for x
    x = 72,623,782,144/123,008
  6. Step 6: Final answer
    x = 590,398.85

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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.