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Finding the Third Proportional to 207,322 and 311,145

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Solution

The third proportional to 207,322 and 311,145 is: 466,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,322 : 311,145 = 311,145 : x
  2. Step 2: Convert to fraction form
    207,322/311,145 = 311,145/x
  3. Step 3: Cross multiply
    207,322x = 311,145 × 311,145
  4. Step 4: Simplify right side
    207,322x = 96,811,211,025
  5. Step 5: Solve for x
    x = 96,811,211,025/207,322
  6. Step 6: Final answer
    x = 466,960.63

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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.