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Finding the Third Proportional to 155,864 and 227,962

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Solution

The third proportional to 155,864 and 227,962 is: 333,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,864 : 227,962 = 227,962 : x
  2. Step 2: Convert to fraction form
    155,864/227,962 = 227,962/x
  3. Step 3: Cross multiply
    155,864x = 227,962 × 227,962
  4. Step 4: Simplify right side
    155,864x = 51,966,673,444
  5. Step 5: Solve for x
    x = 51,966,673,444/155,864
  6. Step 6: Final answer
    x = 333,410.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.