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Finding the Third Proportional to 150,801.75 and 234,471

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Solution

The third proportional to 150,801.75 and 234,471 is: 364,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,801.75 : 234,471 = 234,471 : x
  2. Step 2: Convert to fraction form
    150,801.75/234,471 = 234,471/x
  3. Step 3: Cross multiply
    150,801.75x = 234,471 × 234,471
  4. Step 4: Simplify right side
    150,801.75x = 54,976,649,841
  5. Step 5: Solve for x
    x = 54,976,649,841/150,801.75
  6. Step 6: Final answer
    x = 364,562.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.