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Finding the Third Proportional to 246.88 and 284.75

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Solution

The third proportional to 246.88 and 284.75 is: 328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.88 : 284.75 = 284.75 : x
  2. Step 2: Convert to fraction form
    246.88/284.75 = 284.75/x
  3. Step 3: Cross multiply
    246.88x = 284.75 × 284.75
  4. Step 4: Simplify right side
    246.88x = 81,082.56
  5. Step 5: Solve for x
    x = 81,082.56/246.88
  6. Step 6: Final answer
    x = 328.44

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.