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Finding the Third Proportional to 169,301 and 361,102

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Solution

The third proportional to 169,301 and 361,102 is: 770,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,301 : 361,102 = 361,102 : x
  2. Step 2: Convert to fraction form
    169,301/361,102 = 361,102/x
  3. Step 3: Cross multiply
    169,301x = 361,102 × 361,102
  4. Step 4: Simplify right side
    169,301x = 130,394,654,404
  5. Step 5: Solve for x
    x = 130,394,654,404/169,301
  6. Step 6: Final answer
    x = 770,194.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.