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Finding the Third Proportional to 129,478 and 203,451

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Solution

The third proportional to 129,478 and 203,451 is: 319,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,478 : 203,451 = 203,451 : x
  2. Step 2: Convert to fraction form
    129,478/203,451 = 203,451/x
  3. Step 3: Cross multiply
    129,478x = 203,451 × 203,451
  4. Step 4: Simplify right side
    129,478x = 41,392,309,401
  5. Step 5: Solve for x
    x = 41,392,309,401/129,478
  6. Step 6: Final answer
    x = 319,686.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.