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Finding the Third Proportional to 147,665 and 221,637

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Solution

The third proportional to 147,665 and 221,637 is: 332,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,665 : 221,637 = 221,637 : x
  2. Step 2: Convert to fraction form
    147,665/221,637 = 221,637/x
  3. Step 3: Cross multiply
    147,665x = 221,637 × 221,637
  4. Step 4: Simplify right side
    147,665x = 49,122,959,769
  5. Step 5: Solve for x
    x = 49,122,959,769/147,665
  6. Step 6: Final answer
    x = 332,664.88

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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.