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Finding the Third Proportional to 167,645.25 and 359,259

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Solution

The third proportional to 167,645.25 and 359,259 is: 769,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,645.25 : 359,259 = 359,259 : x
  2. Step 2: Convert to fraction form
    167,645.25/359,259 = 359,259/x
  3. Step 3: Cross multiply
    167,645.25x = 359,259 × 359,259
  4. Step 4: Simplify right side
    167,645.25x = 129,067,029,081
  5. Step 5: Solve for x
    x = 129,067,029,081/167,645.25
  6. Step 6: Final answer
    x = 769,881.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.