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Finding the Third Proportional to 297 and 495

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Solution

The third proportional to 297 and 495 is: 825

Step by Step Solution

  1. Step 1: Write the proportion equation
    297 : 495 = 495 : x
  2. Step 2: Convert to fraction form
    297/495 = 495/x
  3. Step 3: Cross multiply
    297x = 495 × 495
  4. Step 4: Simplify right side
    297x = 245,025
  5. Step 5: Solve for x
    x = 245,025/297
  6. Step 6: Final answer
    x = 825

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.