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Finding the Third Proportional to 152,791.88 and 332,148.38

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Solution

The third proportional to 152,791.88 and 332,148.38 is: 722,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,791.88 : 332,148.38 = 332,148.38 : x
  2. Step 2: Convert to fraction form
    152,791.88/332,148.38 = 332,148.38/x
  3. Step 3: Cross multiply
    152,791.88x = 332,148.38 × 332,148.38
  4. Step 4: Simplify right side
    152,791.88x = 110,322,543,015.14
  5. Step 5: Solve for x
    x = 110,322,543,015.14/152,791.88
  6. Step 6: Final answer
    x = 722,044.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.