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Finding the Third Proportional to 167,536 and 251,664

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Solution

The third proportional to 167,536 and 251,664 is: 378,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,536 : 251,664 = 251,664 : x
  2. Step 2: Convert to fraction form
    167,536/251,664 = 251,664/x
  3. Step 3: Cross multiply
    167,536x = 251,664 × 251,664
  4. Step 4: Simplify right side
    167,536x = 63,334,768,896
  5. Step 5: Solve for x
    x = 63,334,768,896/167,536
  6. Step 6: Final answer
    x = 378,036.77

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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.