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Finding the Third Proportional to 217,940 and 333,252

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Solution

The third proportional to 217,940 and 333,252 is: 509,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,940 : 333,252 = 333,252 : x
  2. Step 2: Convert to fraction form
    217,940/333,252 = 333,252/x
  3. Step 3: Cross multiply
    217,940x = 333,252 × 333,252
  4. Step 4: Simplify right side
    217,940x = 111,056,895,504
  5. Step 5: Solve for x
    x = 111,056,895,504/217,940
  6. Step 6: Final answer
    x = 509,575.55

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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.