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Finding the Third Proportional to 207,982.50 and 315,861.75

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Solution

The third proportional to 207,982.50 and 315,861.75 is: 479,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,982.50 : 315,861.75 = 315,861.75 : x
  2. Step 2: Convert to fraction form
    207,982.50/315,861.75 = 315,861.75/x
  3. Step 3: Cross multiply
    207,982.50x = 315,861.75 × 315,861.75
  4. Step 4: Simplify right side
    207,982.50x = 99,768,645,113.06
  5. Step 5: Solve for x
    x = 99,768,645,113.06/207,982.50
  6. Step 6: Final answer
    x = 479,697.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.