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Finding the Third Proportional to 88,417 and 192,224

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Solution

The third proportional to 88,417 and 192,224 is: 417,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,417 : 192,224 = 192,224 : x
  2. Step 2: Convert to fraction form
    88,417/192,224 = 192,224/x
  3. Step 3: Cross multiply
    88,417x = 192,224 × 192,224
  4. Step 4: Simplify right side
    88,417x = 36,950,066,176
  5. Step 5: Solve for x
    x = 36,950,066,176/88,417
  6. Step 6: Final answer
    x = 417,906.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.