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Finding the Third Proportional to 174,727.69 and 382,169.25

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Solution

The third proportional to 174,727.69 and 382,169.25 is: 835,891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,727.69 : 382,169.25 = 382,169.25 : x
  2. Step 2: Convert to fraction form
    174,727.69/382,169.25 = 382,169.25/x
  3. Step 3: Cross multiply
    174,727.69x = 382,169.25 × 382,169.25
  4. Step 4: Simplify right side
    174,727.69x = 146,053,335,645.56
  5. Step 5: Solve for x
    x = 146,053,335,645.56/174,727.69
  6. Step 6: Final answer
    x = 835,891.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.