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Finding the Third Proportional to 202.31 and 292.03

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Solution

The third proportional to 202.31 and 292.03 is: 421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.31 : 292.03 = 292.03 : x
  2. Step 2: Convert to fraction form
    202.31/292.03 = 292.03/x
  3. Step 3: Cross multiply
    202.31x = 292.03 × 292.03
  4. Step 4: Simplify right side
    202.31x = 85,282.25
  5. Step 5: Solve for x
    x = 85,282.25/202.31
  6. Step 6: Final answer
    x = 421.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.