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Finding the Third Proportional to 117.84 and 228.09

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Solution

The third proportional to 117.84 and 228.09 is: 441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 228.09 = 228.09 : x
  2. Step 2: Convert to fraction form
    117.84/228.09 = 228.09/x
  3. Step 3: Cross multiply
    117.84x = 228.09 × 228.09
  4. Step 4: Simplify right side
    117.84x = 52,026.76
  5. Step 5: Solve for x
    x = 52,026.76/117.84
  6. Step 6: Final answer
    x = 441.49

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.