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Finding the Third Proportional to 88,400 and 192,336

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Solution

The third proportional to 88,400 and 192,336 is: 418,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,400 : 192,336 = 192,336 : x
  2. Step 2: Convert to fraction form
    88,400/192,336 = 192,336/x
  3. Step 3: Cross multiply
    88,400x = 192,336 × 192,336
  4. Step 4: Simplify right side
    88,400x = 36,993,136,896
  5. Step 5: Solve for x
    x = 36,993,136,896/88,400
  6. Step 6: Final answer
    x = 418,474.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.