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Finding the Third Proportional to 133,204 and 283,358

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Solution

The third proportional to 133,204 and 283,358 is: 602,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,204 : 283,358 = 283,358 : x
  2. Step 2: Convert to fraction form
    133,204/283,358 = 283,358/x
  3. Step 3: Cross multiply
    133,204x = 283,358 × 283,358
  4. Step 4: Simplify right side
    133,204x = 80,291,756,164
  5. Step 5: Solve for x
    x = 80,291,756,164/133,204
  6. Step 6: Final answer
    x = 602,772.86

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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.