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Finding the Third Proportional to 269.63 and 495.94

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Solution

The third proportional to 269.63 and 495.94 is: 912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.63 : 495.94 = 495.94 : x
  2. Step 2: Convert to fraction form
    269.63/495.94 = 495.94/x
  3. Step 3: Cross multiply
    269.63x = 495.94 × 495.94
  4. Step 4: Simplify right side
    269.63x = 245,954.00
  5. Step 5: Solve for x
    x = 245,954.00/269.63
  6. Step 6: Final answer
    x = 912.21

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.