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Finding the Third Proportional to 212,376 and 321,282

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Solution

The third proportional to 212,376 and 321,282 is: 486,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,376 : 321,282 = 321,282 : x
  2. Step 2: Convert to fraction form
    212,376/321,282 = 321,282/x
  3. Step 3: Cross multiply
    212,376x = 321,282 × 321,282
  4. Step 4: Simplify right side
    212,376x = 103,222,123,524
  5. Step 5: Solve for x
    x = 103,222,123,524/212,376
  6. Step 6: Final answer
    x = 486,034.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.