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Finding the Third Proportional to 147,975 and 231,879

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Solution

The third proportional to 147,975 and 231,879 is: 363,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,975 : 231,879 = 231,879 : x
  2. Step 2: Convert to fraction form
    147,975/231,879 = 231,879/x
  3. Step 3: Cross multiply
    147,975x = 231,879 × 231,879
  4. Step 4: Simplify right side
    147,975x = 53,767,870,641
  5. Step 5: Solve for x
    x = 53,767,870,641/147,975
  6. Step 6: Final answer
    x = 363,357.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.