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Finding the Third Proportional to 207,724 and 311,234

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Solution

The third proportional to 207,724 and 311,234 is: 466,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,724 : 311,234 = 311,234 : x
  2. Step 2: Convert to fraction form
    207,724/311,234 = 311,234/x
  3. Step 3: Cross multiply
    207,724x = 311,234 × 311,234
  4. Step 4: Simplify right side
    207,724x = 96,866,602,756
  5. Step 5: Solve for x
    x = 96,866,602,756/207,724
  6. Step 6: Final answer
    x = 466,323.60

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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.