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Finding the Third Proportional to 85,822 and 199,329

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Solution

The third proportional to 85,822 and 199,329 is: 462,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,822 : 199,329 = 199,329 : x
  2. Step 2: Convert to fraction form
    85,822/199,329 = 199,329/x
  3. Step 3: Cross multiply
    85,822x = 199,329 × 199,329
  4. Step 4: Simplify right side
    85,822x = 39,732,050,241
  5. Step 5: Solve for x
    x = 39,732,050,241/85,822
  6. Step 6: Final answer
    x = 462,958.80

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.