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Finding the Third Proportional to 150,667 and 221,079

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Solution

The third proportional to 150,667 and 221,079 is: 324,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,667 : 221,079 = 221,079 : x
  2. Step 2: Convert to fraction form
    150,667/221,079 = 221,079/x
  3. Step 3: Cross multiply
    150,667x = 221,079 × 221,079
  4. Step 4: Simplify right side
    150,667x = 48,875,924,241
  5. Step 5: Solve for x
    x = 48,875,924,241/150,667
  6. Step 6: Final answer
    x = 324,397.01

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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.