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Finding the Third Proportional to 217,954 and 333,267

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Solution

The third proportional to 217,954 and 333,267 is: 509,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,954 : 333,267 = 333,267 : x
  2. Step 2: Convert to fraction form
    217,954/333,267 = 333,267/x
  3. Step 3: Cross multiply
    217,954x = 333,267 × 333,267
  4. Step 4: Simplify right side
    217,954x = 111,066,893,289
  5. Step 5: Solve for x
    x = 111,066,893,289/217,954
  6. Step 6: Final answer
    x = 509,588.69

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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.