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Finding the Third Proportional to 133,193 and 285,340

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Solution

The third proportional to 133,193 and 285,340 is: 611,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,193 : 285,340 = 285,340 : x
  2. Step 2: Convert to fraction form
    133,193/285,340 = 285,340/x
  3. Step 3: Cross multiply
    133,193x = 285,340 × 285,340
  4. Step 4: Simplify right side
    133,193x = 81,418,915,600
  5. Step 5: Solve for x
    x = 81,418,915,600/133,193
  6. Step 6: Final answer
    x = 611,285.24

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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.