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Finding the Third Proportional to 192,276 and 414,121

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Solution

The third proportional to 192,276 and 414,121 is: 891,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,276 : 414,121 = 414,121 : x
  2. Step 2: Convert to fraction form
    192,276/414,121 = 414,121/x
  3. Step 3: Cross multiply
    192,276x = 414,121 × 414,121
  4. Step 4: Simplify right side
    192,276x = 171,496,202,641
  5. Step 5: Solve for x
    x = 171,496,202,641/192,276
  6. Step 6: Final answer
    x = 891,927.24

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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.