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Finding the Third Proportional to 167,456 and 251,214

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Solution

The third proportional to 167,456 and 251,214 is: 376,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,456 : 251,214 = 251,214 : x
  2. Step 2: Convert to fraction form
    167,456/251,214 = 251,214/x
  3. Step 3: Cross multiply
    167,456x = 251,214 × 251,214
  4. Step 4: Simplify right side
    167,456x = 63,108,473,796
  5. Step 5: Solve for x
    x = 63,108,473,796/167,456
  6. Step 6: Final answer
    x = 376,866.01

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