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Finding the Third Proportional to 167,438 and 251,157

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Solution

The third proportional to 167,438 and 251,157 is: 376,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,438 : 251,157 = 251,157 : x
  2. Step 2: Convert to fraction form
    167,438/251,157 = 251,157/x
  3. Step 3: Cross multiply
    167,438x = 251,157 × 251,157
  4. Step 4: Simplify right side
    167,438x = 63,079,838,649
  5. Step 5: Solve for x
    x = 63,079,838,649/167,438
  6. Step 6: Final answer
    x = 376,735.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.