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Finding the Third Proportional to 212,282 and 288,451

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Solution

The third proportional to 212,282 and 288,451 is: 391,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,282 : 288,451 = 288,451 : x
  2. Step 2: Convert to fraction form
    212,282/288,451 = 288,451/x
  3. Step 3: Cross multiply
    212,282x = 288,451 × 288,451
  4. Step 4: Simplify right side
    212,282x = 83,203,979,401
  5. Step 5: Solve for x
    x = 83,203,979,401/212,282
  6. Step 6: Final answer
    x = 391,950.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.