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Finding the Third Proportional to 257,701.50 and 393,217.50

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Solution

The third proportional to 257,701.50 and 393,217.50 is: 599,996.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,701.50 : 393,217.50 = 393,217.50 : x
  2. Step 2: Convert to fraction form
    257,701.50/393,217.50 = 393,217.50/x
  3. Step 3: Cross multiply
    257,701.50x = 393,217.50 × 393,217.50
  4. Step 4: Simplify right side
    257,701.50x = 154,620,002,306.25
  5. Step 5: Solve for x
    x = 154,620,002,306.25/257,701.50
  6. Step 6: Final answer
    x = 599,996.52

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Why These Related Problems?

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