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Finding the Third Proportional to 151,469 and 237,627

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Solution

The third proportional to 151,469 and 237,627 is: 372,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,469 : 237,627 = 237,627 : x
  2. Step 2: Convert to fraction form
    151,469/237,627 = 237,627/x
  3. Step 3: Cross multiply
    151,469x = 237,627 × 237,627
  4. Step 4: Simplify right side
    151,469x = 56,466,591,129
  5. Step 5: Solve for x
    x = 56,466,591,129/151,469
  6. Step 6: Final answer
    x = 372,793.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.