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Finding the Third Proportional to 133,882 and 200,830

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Solution

The third proportional to 133,882 and 200,830 is: 301,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,882 : 200,830 = 200,830 : x
  2. Step 2: Convert to fraction form
    133,882/200,830 = 200,830/x
  3. Step 3: Cross multiply
    133,882x = 200,830 × 200,830
  4. Step 4: Simplify right side
    133,882x = 40,332,688,900
  5. Step 5: Solve for x
    x = 40,332,688,900/133,882
  6. Step 6: Final answer
    x = 301,255.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.