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Finding the Third Proportional to 200,909 and 311,431

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Solution

The third proportional to 200,909 and 311,431 is: 482,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909 : 311,431 = 311,431 : x
  2. Step 2: Convert to fraction form
    200,909/311,431 = 311,431/x
  3. Step 3: Cross multiply
    200,909x = 311,431 × 311,431
  4. Step 4: Simplify right side
    200,909x = 96,989,267,761
  5. Step 5: Solve for x
    x = 96,989,267,761/200,909
  6. Step 6: Final answer
    x = 482,752.23

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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.