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Finding the Third Proportional to 150,764 and 221,649

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Solution

The third proportional to 150,764 and 221,649 is: 325,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,764 : 221,649 = 221,649 : x
  2. Step 2: Convert to fraction form
    150,764/221,649 = 221,649/x
  3. Step 3: Cross multiply
    150,764x = 221,649 × 221,649
  4. Step 4: Simplify right side
    150,764x = 49,128,279,201
  5. Step 5: Solve for x
    x = 49,128,279,201/150,764
  6. Step 6: Final answer
    x = 325,862.14

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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.