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Finding the Third Proportional to 80,441 and 176,743

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Solution

The third proportional to 80,441 and 176,743 is: 388,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,441 : 176,743 = 176,743 : x
  2. Step 2: Convert to fraction form
    80,441/176,743 = 176,743/x
  3. Step 3: Cross multiply
    80,441x = 176,743 × 176,743
  4. Step 4: Simplify right side
    80,441x = 31,238,088,049
  5. Step 5: Solve for x
    x = 31,238,088,049/80,441
  6. Step 6: Final answer
    x = 388,335.40

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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.