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Finding the Third Proportional to 167,733 and 253,780.50

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Solution

The third proportional to 167,733 and 253,780.50 is: 383,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,733 : 253,780.50 = 253,780.50 : x
  2. Step 2: Convert to fraction form
    167,733/253,780.50 = 253,780.50/x
  3. Step 3: Cross multiply
    167,733x = 253,780.50 × 253,780.50
  4. Step 4: Simplify right side
    167,733x = 64,404,542,180.25
  5. Step 5: Solve for x
    x = 64,404,542,180.25/167,733
  6. Step 6: Final answer
    x = 383,970.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.