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Finding the Third Proportional to 104,853 and 228,138

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Solution

The third proportional to 104,853 and 228,138 is: 496,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,853 : 228,138 = 228,138 : x
  2. Step 2: Convert to fraction form
    104,853/228,138 = 228,138/x
  3. Step 3: Cross multiply
    104,853x = 228,138 × 228,138
  4. Step 4: Simplify right side
    104,853x = 52,046,947,044
  5. Step 5: Solve for x
    x = 52,046,947,044/104,853
  6. Step 6: Final answer
    x = 496,380.14

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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.