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Finding the Third Proportional to 214,282 and 317,049

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Solution

The third proportional to 214,282 and 317,049 is: 469,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,282 : 317,049 = 317,049 : x
  2. Step 2: Convert to fraction form
    214,282/317,049 = 317,049/x
  3. Step 3: Cross multiply
    214,282x = 317,049 × 317,049
  4. Step 4: Simplify right side
    214,282x = 100,520,068,401
  5. Step 5: Solve for x
    x = 100,520,068,401/214,282
  6. Step 6: Final answer
    x = 469,101.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.