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Finding the Third Proportional to 170,747.16 and 250,588.69

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Solution

The third proportional to 170,747.16 and 250,588.69 is: 367,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,747.16 : 250,588.69 = 250,588.69 : x
  2. Step 2: Convert to fraction form
    170,747.16/250,588.69 = 250,588.69/x
  3. Step 3: Cross multiply
    170,747.16x = 250,588.69 × 250,588.69
  4. Step 4: Simplify right side
    170,747.16x = 62,794,690,302.97
  5. Step 5: Solve for x
    x = 62,794,690,302.97/170,747.16
  6. Step 6: Final answer
    x = 367,764.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.