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Finding the Third Proportional to 104,849 and 228,130

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Solution

The third proportional to 104,849 and 228,130 is: 496,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,849 : 228,130 = 228,130 : x
  2. Step 2: Convert to fraction form
    104,849/228,130 = 228,130/x
  3. Step 3: Cross multiply
    104,849x = 228,130 × 228,130
  4. Step 4: Simplify right side
    104,849x = 52,043,296,900
  5. Step 5: Solve for x
    x = 52,043,296,900/104,849
  6. Step 6: Final answer
    x = 496,364.27

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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.