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Finding the Third Proportional to 112,624 and 200,206

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Solution

The third proportional to 112,624 and 200,206 is: 355,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,624 : 200,206 = 200,206 : x
  2. Step 2: Convert to fraction form
    112,624/200,206 = 200,206/x
  3. Step 3: Cross multiply
    112,624x = 200,206 × 200,206
  4. Step 4: Simplify right side
    112,624x = 40,082,442,436
  5. Step 5: Solve for x
    x = 40,082,442,436/112,624
  6. Step 6: Final answer
    x = 355,896.10

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.