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Finding the Third Proportional to 133,204 and 283,364

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Solution

The third proportional to 133,204 and 283,364 is: 602,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,204 : 283,364 = 283,364 : x
  2. Step 2: Convert to fraction form
    133,204/283,364 = 283,364/x
  3. Step 3: Cross multiply
    133,204x = 283,364 × 283,364
  4. Step 4: Simplify right side
    133,204x = 80,295,156,496
  5. Step 5: Solve for x
    x = 80,295,156,496/133,204
  6. Step 6: Final answer
    x = 602,798.39

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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.