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Finding the Third Proportional to 133,270 and 283,802

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Solution

The third proportional to 133,270 and 283,802 is: 604,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,270 : 283,802 = 283,802 : x
  2. Step 2: Convert to fraction form
    133,270/283,802 = 283,802/x
  3. Step 3: Cross multiply
    133,270x = 283,802 × 283,802
  4. Step 4: Simplify right side
    133,270x = 80,543,575,204
  5. Step 5: Solve for x
    x = 80,543,575,204/133,270
  6. Step 6: Final answer
    x = 604,363.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.