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Finding the Third Proportional to 78,350 and 172,252

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Solution

The third proportional to 78,350 and 172,252 is: 378,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,350 : 172,252 = 172,252 : x
  2. Step 2: Convert to fraction form
    78,350/172,252 = 172,252/x
  3. Step 3: Cross multiply
    78,350x = 172,252 × 172,252
  4. Step 4: Simplify right side
    78,350x = 29,670,751,504
  5. Step 5: Solve for x
    x = 29,670,751,504/78,350
  6. Step 6: Final answer
    x = 378,694.98

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Why These Related Problems?

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