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Finding the Third Proportional to 85,822 and 200,480

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Solution

The third proportional to 85,822 and 200,480 is: 468,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,822 : 200,480 = 200,480 : x
  2. Step 2: Convert to fraction form
    85,822/200,480 = 200,480/x
  3. Step 3: Cross multiply
    85,822x = 200,480 × 200,480
  4. Step 4: Simplify right side
    85,822x = 40,192,230,400
  5. Step 5: Solve for x
    x = 40,192,230,400/85,822
  6. Step 6: Final answer
    x = 468,320.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.