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Finding the Third Proportional to 167,424 and 361,404

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Solution

The third proportional to 167,424 and 361,404 is: 780,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,424 : 361,404 = 361,404 : x
  2. Step 2: Convert to fraction form
    167,424/361,404 = 361,404/x
  3. Step 3: Cross multiply
    167,424x = 361,404 × 361,404
  4. Step 4: Simplify right side
    167,424x = 130,612,851,216
  5. Step 5: Solve for x
    x = 130,612,851,216/167,424
  6. Step 6: Final answer
    x = 780,132.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.