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Finding the Third Proportional to 167,191 and 361,651

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Solution

The third proportional to 167,191 and 361,651 is: 782,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,191 : 361,651 = 361,651 : x
  2. Step 2: Convert to fraction form
    167,191/361,651 = 361,651/x
  3. Step 3: Cross multiply
    167,191x = 361,651 × 361,651
  4. Step 4: Simplify right side
    167,191x = 130,791,445,801
  5. Step 5: Solve for x
    x = 130,791,445,801/167,191
  6. Step 6: Final answer
    x = 782,287.60

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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.