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Finding the Third Proportional to 106.95 and 228.92

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Solution

The third proportional to 106.95 and 228.92 is: 490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.95 : 228.92 = 228.92 : x
  2. Step 2: Convert to fraction form
    106.95/228.92 = 228.92/x
  3. Step 3: Cross multiply
    106.95x = 228.92 × 228.92
  4. Step 4: Simplify right side
    106.95x = 52,404.33
  5. Step 5: Solve for x
    x = 52,404.33/106.95
  6. Step 6: Final answer
    x = 490.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.