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Finding the Third Proportional to 246.59 and 266.84

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Solution

The third proportional to 246.59 and 266.84 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.59 : 266.84 = 266.84 : x
  2. Step 2: Convert to fraction form
    246.59/266.84 = 266.84/x
  3. Step 3: Cross multiply
    246.59x = 266.84 × 266.84
  4. Step 4: Simplify right side
    246.59x = 71,201.42
  5. Step 5: Solve for x
    x = 71,201.42/246.59
  6. Step 6: Final answer
    x = 288.75

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.