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Finding the Third Proportional to 200,088 and 281,412

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Solution

The third proportional to 200,088 and 281,412 is: 395,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,088 : 281,412 = 281,412 : x
  2. Step 2: Convert to fraction form
    200,088/281,412 = 281,412/x
  3. Step 3: Cross multiply
    200,088x = 281,412 × 281,412
  4. Step 4: Simplify right side
    200,088x = 79,192,713,744
  5. Step 5: Solve for x
    x = 79,192,713,744/200,088
  6. Step 6: Final answer
    x = 395,789.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.