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Finding the Third Proportional to 76,338 and 167,380

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Solution

The third proportional to 76,338 and 167,380 is: 367,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,338 : 167,380 = 167,380 : x
  2. Step 2: Convert to fraction form
    76,338/167,380 = 167,380/x
  3. Step 3: Cross multiply
    76,338x = 167,380 × 167,380
  4. Step 4: Simplify right side
    76,338x = 28,016,064,400
  5. Step 5: Solve for x
    x = 28,016,064,400/76,338
  6. Step 6: Final answer
    x = 367,000.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.