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Finding the Third Proportional to 78,778.50 and 172,869

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Solution

The third proportional to 78,778.50 and 172,869 is: 379,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,778.50 : 172,869 = 172,869 : x
  2. Step 2: Convert to fraction form
    78,778.50/172,869 = 172,869/x
  3. Step 3: Cross multiply
    78,778.50x = 172,869 × 172,869
  4. Step 4: Simplify right side
    78,778.50x = 29,883,691,161
  5. Step 5: Solve for x
    x = 29,883,691,161/78,778.50
  6. Step 6: Final answer
    x = 379,338.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.