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Finding the Third Proportional to 80,282 and 176,454

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Solution

The third proportional to 80,282 and 176,454 is: 387,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,282 : 176,454 = 176,454 : x
  2. Step 2: Convert to fraction form
    80,282/176,454 = 176,454/x
  3. Step 3: Cross multiply
    80,282x = 176,454 × 176,454
  4. Step 4: Simplify right side
    80,282x = 31,136,014,116
  5. Step 5: Solve for x
    x = 31,136,014,116/80,282
  6. Step 6: Final answer
    x = 387,833.06

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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.