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Finding the Third Proportional to 80,632 and 175,260

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Solution

The third proportional to 80,632 and 175,260 is: 380,941.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,632 : 175,260 = 175,260 : x
  2. Step 2: Convert to fraction form
    80,632/175,260 = 175,260/x
  3. Step 3: Cross multiply
    80,632x = 175,260 × 175,260
  4. Step 4: Simplify right side
    80,632x = 30,716,067,600
  5. Step 5: Solve for x
    x = 30,716,067,600/80,632
  6. Step 6: Final answer
    x = 380,941.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.