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Finding the Third Proportional to 80,334 and 169,704

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Solution

The third proportional to 80,334 and 169,704 is: 358,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,334 : 169,704 = 169,704 : x
  2. Step 2: Convert to fraction form
    80,334/169,704 = 169,704/x
  3. Step 3: Cross multiply
    80,334x = 169,704 × 169,704
  4. Step 4: Simplify right side
    80,334x = 28,799,447,616
  5. Step 5: Solve for x
    x = 28,799,447,616/80,334
  6. Step 6: Final answer
    x = 358,496.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.