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Finding the Third Proportional to 106,026.75 and 228,659.25

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Solution

The third proportional to 106,026.75 and 228,659.25 is: 493,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,026.75 : 228,659.25 = 228,659.25 : x
  2. Step 2: Convert to fraction form
    106,026.75/228,659.25 = 228,659.25/x
  3. Step 3: Cross multiply
    106,026.75x = 228,659.25 × 228,659.25
  4. Step 4: Simplify right side
    106,026.75x = 52,285,052,610.56
  5. Step 5: Solve for x
    x = 52,285,052,610.56/106,026.75
  6. Step 6: Final answer
    x = 493,130.77

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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.