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Finding the Third Proportional to 200,713 and 311,450

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Solution

The third proportional to 200,713 and 311,450 is: 483,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,713 : 311,450 = 311,450 : x
  2. Step 2: Convert to fraction form
    200,713/311,450 = 311,450/x
  3. Step 3: Cross multiply
    200,713x = 311,450 × 311,450
  4. Step 4: Simplify right side
    200,713x = 97,001,102,500
  5. Step 5: Solve for x
    x = 97,001,102,500/200,713
  6. Step 6: Final answer
    x = 483,282.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.