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Finding the Third Proportional to 225.32 and 484.38

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Solution

The third proportional to 225.32 and 484.38 is: 1,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.32 : 484.38 = 484.38 : x
  2. Step 2: Convert to fraction form
    225.32/484.38 = 484.38/x
  3. Step 3: Cross multiply
    225.32x = 484.38 × 484.38
  4. Step 4: Simplify right side
    225.32x = 234,626.71
  5. Step 5: Solve for x
    x = 234,626.71/225.32
  6. Step 6: Final answer
    x = 1,041.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.