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Finding the Third Proportional to 201,882 and 313,481

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Solution

The third proportional to 201,882 and 313,481 is: 486,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,882 : 313,481 = 313,481 : x
  2. Step 2: Convert to fraction form
    201,882/313,481 = 313,481/x
  3. Step 3: Cross multiply
    201,882x = 313,481 × 313,481
  4. Step 4: Simplify right side
    201,882x = 98,270,337,361
  5. Step 5: Solve for x
    x = 98,270,337,361/201,882
  6. Step 6: Final answer
    x = 486,771.17

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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.