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Finding the Third Proportional to 101,793 and 228,606

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Solution

The third proportional to 101,793 and 228,606 is: 513,401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,793 : 228,606 = 228,606 : x
  2. Step 2: Convert to fraction form
    101,793/228,606 = 228,606/x
  3. Step 3: Cross multiply
    101,793x = 228,606 × 228,606
  4. Step 4: Simplify right side
    101,793x = 52,260,703,236
  5. Step 5: Solve for x
    x = 52,260,703,236/101,793
  6. Step 6: Final answer
    x = 513,401.74

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.