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Finding the Third Proportional to 104,857 and 228,146

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Solution

The third proportional to 104,857 and 228,146 is: 496,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,857 : 228,146 = 228,146 : x
  2. Step 2: Convert to fraction form
    104,857/228,146 = 228,146/x
  3. Step 3: Cross multiply
    104,857x = 228,146 × 228,146
  4. Step 4: Simplify right side
    104,857x = 52,050,597,316
  5. Step 5: Solve for x
    x = 52,050,597,316/104,857
  6. Step 6: Final answer
    x = 496,396.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.