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Finding the Third Proportional to 207,680.84 and 311,175.42

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Solution

The third proportional to 207,680.84 and 311,175.42 is: 466,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,680.84 : 311,175.42 = 311,175.42 : x
  2. Step 2: Convert to fraction form
    207,680.84/311,175.42 = 311,175.42/x
  3. Step 3: Cross multiply
    207,680.84x = 311,175.42 × 311,175.42
  4. Step 4: Simplify right side
    207,680.84x = 96,830,143,179.08
  5. Step 5: Solve for x
    x = 96,830,143,179.08/207,680.84
  6. Step 6: Final answer
    x = 466,244.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.