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Finding the Third Proportional to 207,376 and 311,226

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Solution

The third proportional to 207,376 and 311,226 is: 467,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,376 : 311,226 = 311,226 : x
  2. Step 2: Convert to fraction form
    207,376/311,226 = 311,226/x
  3. Step 3: Cross multiply
    207,376x = 311,226 × 311,226
  4. Step 4: Simplify right side
    207,376x = 96,861,623,076
  5. Step 5: Solve for x
    x = 96,861,623,076/207,376
  6. Step 6: Final answer
    x = 467,082.13

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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.