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Finding the Third Proportional to 126,396 and 268,344

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Solution

The third proportional to 126,396 and 268,344 is: 569,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,396 : 268,344 = 268,344 : x
  2. Step 2: Convert to fraction form
    126,396/268,344 = 268,344/x
  3. Step 3: Cross multiply
    126,396x = 268,344 × 268,344
  4. Step 4: Simplify right side
    126,396x = 72,008,502,336
  5. Step 5: Solve for x
    x = 72,008,502,336/126,396
  6. Step 6: Final answer
    x = 569,705.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.