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Finding the Third Proportional to 159,624 and 349,164

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Solution

The third proportional to 159,624 and 349,164 is: 763,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,624 : 349,164 = 349,164 : x
  2. Step 2: Convert to fraction form
    159,624/349,164 = 349,164/x
  3. Step 3: Cross multiply
    159,624x = 349,164 × 349,164
  4. Step 4: Simplify right side
    159,624x = 121,915,498,896
  5. Step 5: Solve for x
    x = 121,915,498,896/159,624
  6. Step 6: Final answer
    x = 763,766.72

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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.