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Finding the Third Proportional to 252.02 and 561.46

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Solution

The third proportional to 252.02 and 561.46 is: 1,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.02 : 561.46 = 561.46 : x
  2. Step 2: Convert to fraction form
    252.02/561.46 = 561.46/x
  3. Step 3: Cross multiply
    252.02x = 561.46 × 561.46
  4. Step 4: Simplify right side
    252.02x = 315,240.58
  5. Step 5: Solve for x
    x = 315,240.58/252.02
  6. Step 6: Final answer
    x = 1,250.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.