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Finding the Third Proportional to 217 and 297

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Solution

The third proportional to 217 and 297 is: 406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217 : 297 = 297 : x
  2. Step 2: Convert to fraction form
    217/297 = 297/x
  3. Step 3: Cross multiply
    217x = 297 × 297
  4. Step 4: Simplify right side
    217x = 88,209
  5. Step 5: Solve for x
    x = 88,209/217
  6. Step 6: Final answer
    x = 406.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.