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Finding the Third Proportional to 73,578.38 and 158,932.13

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Solution

The third proportional to 73,578.38 and 158,932.13 is: 343,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,578.38 : 158,932.13 = 158,932.13 : x
  2. Step 2: Convert to fraction form
    73,578.38/158,932.13 = 158,932.13/x
  3. Step 3: Cross multiply
    73,578.38x = 158,932.13 × 158,932.13
  4. Step 4: Simplify right side
    73,578.38x = 25,259,420,357.02
  5. Step 5: Solve for x
    x = 25,259,420,357.02/73,578.38
  6. Step 6: Final answer
    x = 343,299.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.