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Finding the Third Proportional to 80,919 and 176,600.25

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Solution

The third proportional to 80,919 and 176,600.25 is: 385,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,919 : 176,600.25 = 176,600.25 : x
  2. Step 2: Convert to fraction form
    80,919/176,600.25 = 176,600.25/x
  3. Step 3: Cross multiply
    80,919x = 176,600.25 × 176,600.25
  4. Step 4: Simplify right side
    80,919x = 31,187,648,300.06
  5. Step 5: Solve for x
    x = 31,187,648,300.06/80,919
  6. Step 6: Final answer
    x = 385,418.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.