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Finding the Third Proportional to 196,744.50 and 297,456.75

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Solution

The third proportional to 196,744.50 and 297,456.75 is: 449,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,744.50 : 297,456.75 = 297,456.75 : x
  2. Step 2: Convert to fraction form
    196,744.50/297,456.75 = 297,456.75/x
  3. Step 3: Cross multiply
    196,744.50x = 297,456.75 × 297,456.75
  4. Step 4: Simplify right side
    196,744.50x = 88,480,518,120.56
  5. Step 5: Solve for x
    x = 88,480,518,120.56/196,744.50
  6. Step 6: Final answer
    x = 449,722.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.