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Finding the Third Proportional to 131,471.25 and 287,819.25

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Solution

The third proportional to 131,471.25 and 287,819.25 is: 630,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,471.25 : 287,819.25 = 287,819.25 : x
  2. Step 2: Convert to fraction form
    131,471.25/287,819.25 = 287,819.25/x
  3. Step 3: Cross multiply
    131,471.25x = 287,819.25 × 287,819.25
  4. Step 4: Simplify right side
    131,471.25x = 82,839,920,670.56
  5. Step 5: Solve for x
    x = 82,839,920,670.56/131,471.25
  6. Step 6: Final answer
    x = 630,099.13

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