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Finding the Third Proportional to 107,586 and 227,970

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Solution

The third proportional to 107,586 and 227,970 is: 483,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,586 : 227,970 = 227,970 : x
  2. Step 2: Convert to fraction form
    107,586/227,970 = 227,970/x
  3. Step 3: Cross multiply
    107,586x = 227,970 × 227,970
  4. Step 4: Simplify right side
    107,586x = 51,970,320,900
  5. Step 5: Solve for x
    x = 51,970,320,900/107,586
  6. Step 6: Final answer
    x = 483,058.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.