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Finding the Third Proportional to 158,866.31 and 349,221.38

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Solution

The third proportional to 158,866.31 and 349,221.38 is: 767,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,866.31 : 349,221.38 = 349,221.38 : x
  2. Step 2: Convert to fraction form
    158,866.31/349,221.38 = 349,221.38/x
  3. Step 3: Cross multiply
    158,866.31x = 349,221.38 × 349,221.38
  4. Step 4: Simplify right side
    158,866.31x = 121,955,568,756.89
  5. Step 5: Solve for x
    x = 121,955,568,756.89/158,866.31
  6. Step 6: Final answer
    x = 767,661.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.