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Finding the Third Proportional to 76,208.50 and 167,500

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Solution

The third proportional to 76,208.50 and 167,500 is: 368,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,208.50 : 167,500 = 167,500 : x
  2. Step 2: Convert to fraction form
    76,208.50/167,500 = 167,500/x
  3. Step 3: Cross multiply
    76,208.50x = 167,500 × 167,500
  4. Step 4: Simplify right side
    76,208.50x = 28,056,250,000
  5. Step 5: Solve for x
    x = 28,056,250,000/76,208.50
  6. Step 6: Final answer
    x = 368,151.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.