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Finding the Third Proportional to 76,876.50 and 167,217

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Solution

The third proportional to 76,876.50 and 167,217 is: 363,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,876.50 : 167,217 = 167,217 : x
  2. Step 2: Convert to fraction form
    76,876.50/167,217 = 167,217/x
  3. Step 3: Cross multiply
    76,876.50x = 167,217 × 167,217
  4. Step 4: Simplify right side
    76,876.50x = 27,961,525,089
  5. Step 5: Solve for x
    x = 27,961,525,089/76,876.50
  6. Step 6: Final answer
    x = 363,720.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.