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Finding the Third Proportional to 89,242 and 192,308

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Solution

The third proportional to 89,242 and 192,308 is: 414,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,242 : 192,308 = 192,308 : x
  2. Step 2: Convert to fraction form
    89,242/192,308 = 192,308/x
  3. Step 3: Cross multiply
    89,242x = 192,308 × 192,308
  4. Step 4: Simplify right side
    89,242x = 36,982,366,864
  5. Step 5: Solve for x
    x = 36,982,366,864/89,242
  6. Step 6: Final answer
    x = 414,405.40

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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.