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Finding the Third Proportional to 167,074 and 367,380

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Solution

The third proportional to 167,074 and 367,380 is: 807,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,074 : 367,380 = 367,380 : x
  2. Step 2: Convert to fraction form
    167,074/367,380 = 367,380/x
  3. Step 3: Cross multiply
    167,074x = 367,380 × 367,380
  4. Step 4: Simplify right side
    167,074x = 134,968,064,400
  5. Step 5: Solve for x
    x = 134,968,064,400/167,074
  6. Step 6: Final answer
    x = 807,834.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.