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Finding the Third Proportional to 252.56 and 493.09

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Solution

The third proportional to 252.56 and 493.09 is: 962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.56 : 493.09 = 493.09 : x
  2. Step 2: Convert to fraction form
    252.56/493.09 = 493.09/x
  3. Step 3: Cross multiply
    252.56x = 493.09 × 493.09
  4. Step 4: Simplify right side
    252.56x = 243,141.45
  5. Step 5: Solve for x
    x = 243,141.45/252.56
  6. Step 6: Final answer
    x = 962.70

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.