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Finding the Third Proportional to 109,770 and 228,153

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Solution

The third proportional to 109,770 and 228,153 is: 474,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,770 : 228,153 = 228,153 : x
  2. Step 2: Convert to fraction form
    109,770/228,153 = 228,153/x
  3. Step 3: Cross multiply
    109,770x = 228,153 × 228,153
  4. Step 4: Simplify right side
    109,770x = 52,053,791,409
  5. Step 5: Solve for x
    x = 52,053,791,409/109,770
  6. Step 6: Final answer
    x = 474,207.81

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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.