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Finding the Third Proportional to 158,802 and 348,711

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Solution

The third proportional to 158,802 and 348,711 is: 765,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,802 : 348,711 = 348,711 : x
  2. Step 2: Convert to fraction form
    158,802/348,711 = 348,711/x
  3. Step 3: Cross multiply
    158,802x = 348,711 × 348,711
  4. Step 4: Simplify right side
    158,802x = 121,599,361,521
  5. Step 5: Solve for x
    x = 121,599,361,521/158,802
  6. Step 6: Final answer
    x = 765,729.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.