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Finding the Third Proportional to 95.38 and 228.94

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Solution

The third proportional to 95.38 and 228.94 is: 549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.38 : 228.94 = 228.94 : x
  2. Step 2: Convert to fraction form
    95.38/228.94 = 228.94/x
  3. Step 3: Cross multiply
    95.38x = 228.94 × 228.94
  4. Step 4: Simplify right side
    95.38x = 52,412.38
  5. Step 5: Solve for x
    x = 52,412.38/95.38
  6. Step 6: Final answer
    x = 549.54

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.