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Finding the Third Proportional to 206,416.50 and 315,780

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Solution

The third proportional to 206,416.50 and 315,780 is: 483,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.50 : 315,780 = 315,780 : x
  2. Step 2: Convert to fraction form
    206,416.50/315,780 = 315,780/x
  3. Step 3: Cross multiply
    206,416.50x = 315,780 × 315,780
  4. Step 4: Simplify right side
    206,416.50x = 99,717,008,400
  5. Step 5: Solve for x
    x = 99,717,008,400/206,416.50
  6. Step 6: Final answer
    x = 483,086.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.