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Finding the Third Proportional to 100,597 and 150,908

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Solution

The third proportional to 100,597 and 150,908 is: 226,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,597 : 150,908 = 150,908 : x
  2. Step 2: Convert to fraction form
    100,597/150,908 = 150,908/x
  3. Step 3: Cross multiply
    100,597x = 150,908 × 150,908
  4. Step 4: Simplify right side
    100,597x = 22,773,224,464
  5. Step 5: Solve for x
    x = 22,773,224,464/100,597
  6. Step 6: Final answer
    x = 226,380.75

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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.