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Finding the Third Proportional to 150,649 and 221,801

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Solution

The third proportional to 150,649 and 221,801 is: 326,558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,649 : 221,801 = 221,801 : x
  2. Step 2: Convert to fraction form
    150,649/221,801 = 221,801/x
  3. Step 3: Cross multiply
    150,649x = 221,801 × 221,801
  4. Step 4: Simplify right side
    150,649x = 49,195,683,601
  5. Step 5: Solve for x
    x = 49,195,683,601/150,649
  6. Step 6: Final answer
    x = 326,558.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.