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Finding the Third Proportional to 80,866.50 and 172,819.50

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Solution

The third proportional to 80,866.50 and 172,819.50 is: 369,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,866.50 : 172,819.50 = 172,819.50 : x
  2. Step 2: Convert to fraction form
    80,866.50/172,819.50 = 172,819.50/x
  3. Step 3: Cross multiply
    80,866.50x = 172,819.50 × 172,819.50
  4. Step 4: Simplify right side
    80,866.50x = 29,866,579,580.25
  5. Step 5: Solve for x
    x = 29,866,579,580.25/80,866.50
  6. Step 6: Final answer
    x = 369,331.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.