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Finding the Third Proportional to 107,588 and 227,974

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Solution

The third proportional to 107,588 and 227,974 is: 483,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,588 : 227,974 = 227,974 : x
  2. Step 2: Convert to fraction form
    107,588/227,974 = 227,974/x
  3. Step 3: Cross multiply
    107,588x = 227,974 × 227,974
  4. Step 4: Simplify right side
    107,588x = 51,972,144,676
  5. Step 5: Solve for x
    x = 51,972,144,676/107,588
  6. Step 6: Final answer
    x = 483,066.37

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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.