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Finding the Third Proportional to 228.52 and 484.81

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Solution

The third proportional to 228.52 and 484.81 is: 1,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.52 : 484.81 = 484.81 : x
  2. Step 2: Convert to fraction form
    228.52/484.81 = 484.81/x
  3. Step 3: Cross multiply
    228.52x = 484.81 × 484.81
  4. Step 4: Simplify right side
    228.52x = 235,044.11
  5. Step 5: Solve for x
    x = 235,044.11/228.52
  6. Step 6: Final answer
    x = 1,028.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.