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Finding the Third Proportional to 128,384 and 192,224

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Solution

The third proportional to 128,384 and 192,224 is: 287,808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,384 : 192,224 = 192,224 : x
  2. Step 2: Convert to fraction form
    128,384/192,224 = 192,224/x
  3. Step 3: Cross multiply
    128,384x = 192,224 × 192,224
  4. Step 4: Simplify right side
    128,384x = 36,950,066,176
  5. Step 5: Solve for x
    x = 36,950,066,176/128,384
  6. Step 6: Final answer
    x = 287,808.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.