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Finding the Third Proportional to 147,663 and 221,634

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Solution

The third proportional to 147,663 and 221,634 is: 332,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,663 : 221,634 = 221,634 : x
  2. Step 2: Convert to fraction form
    147,663/221,634 = 221,634/x
  3. Step 3: Cross multiply
    147,663x = 221,634 × 221,634
  4. Step 4: Simplify right side
    147,663x = 49,121,629,956
  5. Step 5: Solve for x
    x = 49,121,629,956/147,663
  6. Step 6: Final answer
    x = 332,660.38

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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.