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Finding the Third Proportional to 150,098 and 237,675

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Solution

The third proportional to 150,098 and 237,675 is: 376,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,098 : 237,675 = 237,675 : x
  2. Step 2: Convert to fraction form
    150,098/237,675 = 237,675/x
  3. Step 3: Cross multiply
    150,098x = 237,675 × 237,675
  4. Step 4: Simplify right side
    150,098x = 56,489,405,625
  5. Step 5: Solve for x
    x = 56,489,405,625/150,098
  6. Step 6: Final answer
    x = 376,350.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.