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Finding the Third Proportional to 202.56 and 304.38

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Solution

The third proportional to 202.56 and 304.38 is: 457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.56 : 304.38 = 304.38 : x
  2. Step 2: Convert to fraction form
    202.56/304.38 = 304.38/x
  3. Step 3: Cross multiply
    202.56x = 304.38 × 304.38
  4. Step 4: Simplify right side
    202.56x = 92,644.14
  5. Step 5: Solve for x
    x = 92,644.14/202.56
  6. Step 6: Final answer
    x = 457.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.