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Finding the Third Proportional to 140,612 and 200,932

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Solution

The third proportional to 140,612 and 200,932 is: 287,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,612 : 200,932 = 200,932 : x
  2. Step 2: Convert to fraction form
    140,612/200,932 = 200,932/x
  3. Step 3: Cross multiply
    140,612x = 200,932 × 200,932
  4. Step 4: Simplify right side
    140,612x = 40,373,668,624
  5. Step 5: Solve for x
    x = 40,373,668,624/140,612
  6. Step 6: Final answer
    x = 287,128.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.