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Finding the Third Proportional to 167,581 and 359,147

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Solution

The third proportional to 167,581 and 359,147 is: 769,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,581 : 359,147 = 359,147 : x
  2. Step 2: Convert to fraction form
    167,581/359,147 = 359,147/x
  3. Step 3: Cross multiply
    167,581x = 359,147 × 359,147
  4. Step 4: Simplify right side
    167,581x = 128,986,567,609
  5. Step 5: Solve for x
    x = 128,986,567,609/167,581
  6. Step 6: Final answer
    x = 769,696.85

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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.