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Finding the Third Proportional to 200,793 and 310,911

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Solution

The third proportional to 200,793 and 310,911 is: 481,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,793 : 310,911 = 310,911 : x
  2. Step 2: Convert to fraction form
    200,793/310,911 = 310,911/x
  3. Step 3: Cross multiply
    200,793x = 310,911 × 310,911
  4. Step 4: Simplify right side
    200,793x = 96,665,649,921
  5. Step 5: Solve for x
    x = 96,665,649,921/200,793
  6. Step 6: Final answer
    x = 481,419.42

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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.