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Finding the Third Proportional to 265.78 and 495.84

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Solution

The third proportional to 265.78 and 495.84 is: 925.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 495.84 = 495.84 : x
  2. Step 2: Convert to fraction form
    265.78/495.84 = 495.84/x
  3. Step 3: Cross multiply
    265.78x = 495.84 × 495.84
  4. Step 4: Simplify right side
    265.78x = 245,861.02
  5. Step 5: Solve for x
    x = 245,861.02/265.78
  6. Step 6: Final answer
    x = 925.05

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.