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Finding the Third Proportional to 133,204 and 285,363

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Solution

The third proportional to 133,204 and 285,363 is: 611,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,204 : 285,363 = 285,363 : x
  2. Step 2: Convert to fraction form
    133,204/285,363 = 285,363/x
  3. Step 3: Cross multiply
    133,204x = 285,363 × 285,363
  4. Step 4: Simplify right side
    133,204x = 81,432,041,769
  5. Step 5: Solve for x
    x = 81,432,041,769/133,204
  6. Step 6: Final answer
    x = 611,333.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.