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Finding the Third Proportional to 77,800 and 158,452

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Solution

The third proportional to 77,800 and 158,452 is: 322,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,800 : 158,452 = 158,452 : x
  2. Step 2: Convert to fraction form
    77,800/158,452 = 158,452/x
  3. Step 3: Cross multiply
    77,800x = 158,452 × 158,452
  4. Step 4: Simplify right side
    77,800x = 25,107,036,304
  5. Step 5: Solve for x
    x = 25,107,036,304/77,800
  6. Step 6: Final answer
    x = 322,712.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.