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Finding the Third Proportional to 150,458.25 and 233,721.56

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Solution

The third proportional to 150,458.25 and 233,721.56 is: 363,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,458.25 : 233,721.56 = 233,721.56 : x
  2. Step 2: Convert to fraction form
    150,458.25/233,721.56 = 233,721.56/x
  3. Step 3: Cross multiply
    150,458.25x = 233,721.56 × 233,721.56
  4. Step 4: Simplify right side
    150,458.25x = 54,625,768,777.44
  5. Step 5: Solve for x
    x = 54,625,768,777.44/150,458.25
  6. Step 6: Final answer
    x = 363,062.64

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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.