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Finding the Third Proportional to 218,568.50 and 337,197

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Solution

The third proportional to 218,568.50 and 337,197 is: 520,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,568.50 : 337,197 = 337,197 : x
  2. Step 2: Convert to fraction form
    218,568.50/337,197 = 337,197/x
  3. Step 3: Cross multiply
    218,568.50x = 337,197 × 337,197
  4. Step 4: Simplify right side
    218,568.50x = 113,701,816,809
  5. Step 5: Solve for x
    x = 113,701,816,809/218,568.50
  6. Step 6: Final answer
    x = 520,211.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.