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Finding the Third Proportional to 104,835 and 226,355

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Solution

The third proportional to 104,835 and 226,355 is: 488,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,835 : 226,355 = 226,355 : x
  2. Step 2: Convert to fraction form
    104,835/226,355 = 226,355/x
  3. Step 3: Cross multiply
    104,835x = 226,355 × 226,355
  4. Step 4: Simplify right side
    104,835x = 51,236,586,025
  5. Step 5: Solve for x
    x = 51,236,586,025/104,835
  6. Step 6: Final answer
    x = 488,735.50

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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.