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Finding the Third Proportional to 248.84 and 265.92

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Solution

The third proportional to 248.84 and 265.92 is: 284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.84 : 265.92 = 265.92 : x
  2. Step 2: Convert to fraction form
    248.84/265.92 = 265.92/x
  3. Step 3: Cross multiply
    248.84x = 265.92 × 265.92
  4. Step 4: Simplify right side
    248.84x = 70,714.44
  5. Step 5: Solve for x
    x = 70,714.44/248.84
  6. Step 6: Final answer
    x = 284.18

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.