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Finding the Third Proportional to 106,230.75 and 228,251.25

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Solution

The third proportional to 106,230.75 and 228,251.25 is: 490,428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,230.75 : 228,251.25 = 228,251.25 : x
  2. Step 2: Convert to fraction form
    106,230.75/228,251.25 = 228,251.25/x
  3. Step 3: Cross multiply
    106,230.75x = 228,251.25 × 228,251.25
  4. Step 4: Simplify right side
    106,230.75x = 52,098,633,126.56
  5. Step 5: Solve for x
    x = 52,098,633,126.56/106,230.75
  6. Step 6: Final answer
    x = 490,428.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.