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Finding the Third Proportional to 147,666 and 221,451

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Solution

The third proportional to 147,666 and 221,451 is: 332,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,666 : 221,451 = 221,451 : x
  2. Step 2: Convert to fraction form
    147,666/221,451 = 221,451/x
  3. Step 3: Cross multiply
    147,666x = 221,451 × 221,451
  4. Step 4: Simplify right side
    147,666x = 49,040,545,401
  5. Step 5: Solve for x
    x = 49,040,545,401/147,666
  6. Step 6: Final answer
    x = 332,104.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.