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Finding the Third Proportional to 200,124 and 281,466

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Solution

The third proportional to 200,124 and 281,466 is: 395,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,124 : 281,466 = 281,466 : x
  2. Step 2: Convert to fraction form
    200,124/281,466 = 281,466/x
  3. Step 3: Cross multiply
    200,124x = 281,466 × 281,466
  4. Step 4: Simplify right side
    200,124x = 79,223,109,156
  5. Step 5: Solve for x
    x = 79,223,109,156/200,124
  6. Step 6: Final answer
    x = 395,870.11

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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.