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Finding the Third Proportional to 170,110.69 and 251,287.31

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Solution

The third proportional to 170,110.69 and 251,287.31 is: 371,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,110.69 : 251,287.31 = 251,287.31 : x
  2. Step 2: Convert to fraction form
    170,110.69/251,287.31 = 251,287.31/x
  3. Step 3: Cross multiply
    170,110.69x = 251,287.31 × 251,287.31
  4. Step 4: Simplify right side
    170,110.69x = 63,145,313,423.47
  5. Step 5: Solve for x
    x = 63,145,313,423.47/170,110.69
  6. Step 6: Final answer
    x = 371,201.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.