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Finding the Third Proportional to 80,416 and 171,875

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Solution

The third proportional to 80,416 and 171,875 is: 367,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,416 : 171,875 = 171,875 : x
  2. Step 2: Convert to fraction form
    80,416/171,875 = 171,875/x
  3. Step 3: Cross multiply
    80,416x = 171,875 × 171,875
  4. Step 4: Simplify right side
    80,416x = 29,541,015,625
  5. Step 5: Solve for x
    x = 29,541,015,625/80,416
  6. Step 6: Final answer
    x = 367,352.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.