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Finding the Third Proportional to 109,771 and 228,154

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Solution

The third proportional to 109,771 and 228,154 is: 474,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,771 : 228,154 = 228,154 : x
  2. Step 2: Convert to fraction form
    109,771/228,154 = 228,154/x
  3. Step 3: Cross multiply
    109,771x = 228,154 × 228,154
  4. Step 4: Simplify right side
    109,771x = 52,054,247,716
  5. Step 5: Solve for x
    x = 52,054,247,716/109,771
  6. Step 6: Final answer
    x = 474,207.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.