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Finding the Third Proportional to 167,425 and 361,406

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Solution

The third proportional to 167,425 and 361,406 is: 780,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,425 : 361,406 = 361,406 : x
  2. Step 2: Convert to fraction form
    167,425/361,406 = 361,406/x
  3. Step 3: Cross multiply
    167,425x = 361,406 × 361,406
  4. Step 4: Simplify right side
    167,425x = 130,614,296,836
  5. Step 5: Solve for x
    x = 130,614,296,836/167,425
  6. Step 6: Final answer
    x = 780,136.16

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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.