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Finding the Third Proportional to 87,778 and 192,224

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Solution

The third proportional to 87,778 and 192,224 is: 420,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,778 : 192,224 = 192,224 : x
  2. Step 2: Convert to fraction form
    87,778/192,224 = 192,224/x
  3. Step 3: Cross multiply
    87,778x = 192,224 × 192,224
  4. Step 4: Simplify right side
    87,778x = 36,950,066,176
  5. Step 5: Solve for x
    x = 36,950,066,176/87,778
  6. Step 6: Final answer
    x = 420,949.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.