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Finding the Third Proportional to 167,651 and 359,269

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Solution

The third proportional to 167,651 and 359,269 is: 769,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,651 : 359,269 = 359,269 : x
  2. Step 2: Convert to fraction form
    167,651/359,269 = 359,269/x
  3. Step 3: Cross multiply
    167,651x = 359,269 × 359,269
  4. Step 4: Simplify right side
    167,651x = 129,074,214,361
  5. Step 5: Solve for x
    x = 129,074,214,361/167,651
  6. Step 6: Final answer
    x = 769,898.27

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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.