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Finding the Third Proportional to 217,161 and 332,199.75

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Solution

The third proportional to 217,161 and 332,199.75 is: 508,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,161 : 332,199.75 = 332,199.75 : x
  2. Step 2: Convert to fraction form
    217,161/332,199.75 = 332,199.75/x
  3. Step 3: Cross multiply
    217,161x = 332,199.75 × 332,199.75
  4. Step 4: Simplify right side
    217,161x = 110,356,673,900.06
  5. Step 5: Solve for x
    x = 110,356,673,900.06/217,161
  6. Step 6: Final answer
    x = 508,179.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.