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Finding the Third Proportional to 197,416.50 and 288,755.25

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Solution

The third proportional to 197,416.50 and 288,755.25 is: 422,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,416.50 : 288,755.25 = 288,755.25 : x
  2. Step 2: Convert to fraction form
    197,416.50/288,755.25 = 288,755.25/x
  3. Step 3: Cross multiply
    197,416.50x = 288,755.25 × 288,755.25
  4. Step 4: Simplify right side
    197,416.50x = 83,379,594,402.56
  5. Step 5: Solve for x
    x = 83,379,594,402.56/197,416.50
  6. Step 6: Final answer
    x = 422,353.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.