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Finding the Third Proportional to 217,106 and 333,974

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Solution

The third proportional to 217,106 and 333,974 is: 513,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,106 : 333,974 = 333,974 : x
  2. Step 2: Convert to fraction form
    217,106/333,974 = 333,974/x
  3. Step 3: Cross multiply
    217,106x = 333,974 × 333,974
  4. Step 4: Simplify right side
    217,106x = 111,538,632,676
  5. Step 5: Solve for x
    x = 111,538,632,676/217,106
  6. Step 6: Final answer
    x = 513,751.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.