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Finding the Third Proportional to 104.63 and 284.34

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Solution

The third proportional to 104.63 and 284.34 is: 772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.63 : 284.34 = 284.34 : x
  2. Step 2: Convert to fraction form
    104.63/284.34 = 284.34/x
  3. Step 3: Cross multiply
    104.63x = 284.34 × 284.34
  4. Step 4: Simplify right side
    104.63x = 80,851.37
  5. Step 5: Solve for x
    x = 80,851.37/104.63
  6. Step 6: Final answer
    x = 772.77

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.