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Finding the Third Proportional to 112,660 and 228,427

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Solution

The third proportional to 112,660 and 228,427 is: 463,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,660 : 228,427 = 228,427 : x
  2. Step 2: Convert to fraction form
    112,660/228,427 = 228,427/x
  3. Step 3: Cross multiply
    112,660x = 228,427 × 228,427
  4. Step 4: Simplify right side
    112,660x = 52,178,894,329
  5. Step 5: Solve for x
    x = 52,178,894,329/112,660
  6. Step 6: Final answer
    x = 463,153.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.