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Finding the Third Proportional to 221,002 and 327,359

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Solution

The third proportional to 221,002 and 327,359 is: 484,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,002 : 327,359 = 327,359 : x
  2. Step 2: Convert to fraction form
    221,002/327,359 = 327,359/x
  3. Step 3: Cross multiply
    221,002x = 327,359 × 327,359
  4. Step 4: Simplify right side
    221,002x = 107,163,914,881
  5. Step 5: Solve for x
    x = 107,163,914,881/221,002
  6. Step 6: Final answer
    x = 484,900.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.