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Finding the Third Proportional to 202.13 and 472.31

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Solution

The third proportional to 202.13 and 472.31 is: 1,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.13 : 472.31 = 472.31 : x
  2. Step 2: Convert to fraction form
    202.13/472.31 = 472.31/x
  3. Step 3: Cross multiply
    202.13x = 472.31 × 472.31
  4. Step 4: Simplify right side
    202.13x = 223,079.10
  5. Step 5: Solve for x
    x = 223,079.10/202.13
  6. Step 6: Final answer
    x = 1,103.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.