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Finding the Third Proportional to 167,074 and 360,416

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Solution

The third proportional to 167,074 and 360,416 is: 777,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,074 : 360,416 = 360,416 : x
  2. Step 2: Convert to fraction form
    167,074/360,416 = 360,416/x
  3. Step 3: Cross multiply
    167,074x = 360,416 × 360,416
  4. Step 4: Simplify right side
    167,074x = 129,899,693,056
  5. Step 5: Solve for x
    x = 129,899,693,056/167,074
  6. Step 6: Final answer
    x = 777,497.95

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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.