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Finding the Third Proportional to 76,375 and 167,438

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Solution

The third proportional to 76,375 and 167,438 is: 367,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,375 : 167,438 = 167,438 : x
  2. Step 2: Convert to fraction form
    76,375/167,438 = 167,438/x
  3. Step 3: Cross multiply
    76,375x = 167,438 × 167,438
  4. Step 4: Simplify right side
    76,375x = 28,035,483,844
  5. Step 5: Solve for x
    x = 28,035,483,844/76,375
  6. Step 6: Final answer
    x = 367,076.71

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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.