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Finding the Third Proportional to 206,738.78 and 333,058.85

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Solution

The third proportional to 206,738.78 and 333,058.85 is: 536,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,738.78 : 333,058.85 = 333,058.85 : x
  2. Step 2: Convert to fraction form
    206,738.78/333,058.85 = 333,058.85/x
  3. Step 3: Cross multiply
    206,738.78x = 333,058.85 × 333,058.85
  4. Step 4: Simplify right side
    206,738.78x = 110,928,197,140.50
  5. Step 5: Solve for x
    x = 110,928,197,140.50/206,738.78
  6. Step 6: Final answer
    x = 536,562.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.