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Finding the Third Proportional to 147,902 and 221,781

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Solution

The third proportional to 147,902 and 221,781 is: 332,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,902 : 221,781 = 221,781 : x
  2. Step 2: Convert to fraction form
    147,902/221,781 = 221,781/x
  3. Step 3: Cross multiply
    147,902x = 221,781 × 221,781
  4. Step 4: Simplify right side
    147,902x = 49,186,811,961
  5. Step 5: Solve for x
    x = 49,186,811,961/147,902
  6. Step 6: Final answer
    x = 332,563.54

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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.