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Finding the Third Proportional to 87,524.50 and 211,015

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Solution

The third proportional to 87,524.50 and 211,015 is: 508,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,524.50 : 211,015 = 211,015 : x
  2. Step 2: Convert to fraction form
    87,524.50/211,015 = 211,015/x
  3. Step 3: Cross multiply
    87,524.50x = 211,015 × 211,015
  4. Step 4: Simplify right side
    87,524.50x = 44,527,330,225
  5. Step 5: Solve for x
    x = 44,527,330,225/87,524.50
  6. Step 6: Final answer
    x = 508,741.33

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.