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Finding the Third Proportional to 207,231 and 311,616

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Solution

The third proportional to 207,231 and 311,616 is: 468,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,231 : 311,616 = 311,616 : x
  2. Step 2: Convert to fraction form
    207,231/311,616 = 311,616/x
  3. Step 3: Cross multiply
    207,231x = 311,616 × 311,616
  4. Step 4: Simplify right side
    207,231x = 97,104,531,456
  5. Step 5: Solve for x
    x = 97,104,531,456/207,231
  6. Step 6: Final answer
    x = 468,581.11

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Why These Related Problems?

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