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Finding the Third Proportional to 104,776 and 226,296

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Solution

The third proportional to 104,776 and 226,296 is: 488,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,776 : 226,296 = 226,296 : x
  2. Step 2: Convert to fraction form
    104,776/226,296 = 226,296/x
  3. Step 3: Cross multiply
    104,776x = 226,296 × 226,296
  4. Step 4: Simplify right side
    104,776x = 51,209,879,616
  5. Step 5: Solve for x
    x = 51,209,879,616/104,776
  6. Step 6: Final answer
    x = 488,755.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.