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Finding the Third Proportional to 203.63 and 298.88

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Solution

The third proportional to 203.63 and 298.88 is: 438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.63 : 298.88 = 298.88 : x
  2. Step 2: Convert to fraction form
    203.63/298.88 = 298.88/x
  3. Step 3: Cross multiply
    203.63x = 298.88 × 298.88
  4. Step 4: Simplify right side
    203.63x = 89,326.27
  5. Step 5: Solve for x
    x = 89,326.27/203.63
  6. Step 6: Final answer
    x = 438.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.