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Finding the Third Proportional to 80,220 and 170,763

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Solution

The third proportional to 80,220 and 170,763 is: 363,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,220 : 170,763 = 170,763 : x
  2. Step 2: Convert to fraction form
    80,220/170,763 = 170,763/x
  3. Step 3: Cross multiply
    80,220x = 170,763 × 170,763
  4. Step 4: Simplify right side
    80,220x = 29,160,002,169
  5. Step 5: Solve for x
    x = 29,160,002,169/80,220
  6. Step 6: Final answer
    x = 363,500.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.