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Finding the Third Proportional to 228.38 and 341.81

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Solution

The third proportional to 228.38 and 341.81 is: 511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.38 : 341.81 = 341.81 : x
  2. Step 2: Convert to fraction form
    228.38/341.81 = 341.81/x
  3. Step 3: Cross multiply
    228.38x = 341.81 × 341.81
  4. Step 4: Simplify right side
    228.38x = 116,835.79
  5. Step 5: Solve for x
    x = 116,835.79/228.38
  6. Step 6: Final answer
    x = 511.60

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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.