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Finding the Third Proportional to 89,360 and 192,449

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Solution

The third proportional to 89,360 and 192,449 is: 414,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,360 : 192,449 = 192,449 : x
  2. Step 2: Convert to fraction form
    89,360/192,449 = 192,449/x
  3. Step 3: Cross multiply
    89,360x = 192,449 × 192,449
  4. Step 4: Simplify right side
    89,360x = 37,036,617,601
  5. Step 5: Solve for x
    x = 37,036,617,601/89,360
  6. Step 6: Final answer
    x = 414,465.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.