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Finding the Third Proportional to 203.63 and 459.56

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Solution

The third proportional to 203.63 and 459.56 is: 1,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.63 : 459.56 = 459.56 : x
  2. Step 2: Convert to fraction form
    203.63/459.56 = 459.56/x
  3. Step 3: Cross multiply
    203.63x = 459.56 × 459.56
  4. Step 4: Simplify right side
    203.63x = 211,197.69
  5. Step 5: Solve for x
    x = 211,197.69/203.63
  6. Step 6: Final answer
    x = 1,037.19

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.