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Finding the Third Proportional to 168,259 and 359,864

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Solution

The third proportional to 168,259 and 359,864 is: 769,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,259 : 359,864 = 359,864 : x
  2. Step 2: Convert to fraction form
    168,259/359,864 = 359,864/x
  3. Step 3: Cross multiply
    168,259x = 359,864 × 359,864
  4. Step 4: Simplify right side
    168,259x = 129,502,098,496
  5. Step 5: Solve for x
    x = 129,502,098,496/168,259
  6. Step 6: Final answer
    x = 769,659.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.