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Finding the Third Proportional to 167,656 and 361,448

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Solution

The third proportional to 167,656 and 361,448 is: 779,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,656 : 361,448 = 361,448 : x
  2. Step 2: Convert to fraction form
    167,656/361,448 = 361,448/x
  3. Step 3: Cross multiply
    167,656x = 361,448 × 361,448
  4. Step 4: Simplify right side
    167,656x = 130,644,656,704
  5. Step 5: Solve for x
    x = 130,644,656,704/167,656
  6. Step 6: Final answer
    x = 779,242.36

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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.