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Finding the Third Proportional to 106,240.50 and 228,267

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Solution

The third proportional to 106,240.50 and 228,267 is: 490,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,240.50 : 228,267 = 228,267 : x
  2. Step 2: Convert to fraction form
    106,240.50/228,267 = 228,267/x
  3. Step 3: Cross multiply
    106,240.50x = 228,267 × 228,267
  4. Step 4: Simplify right side
    106,240.50x = 52,105,823,289
  5. Step 5: Solve for x
    x = 52,105,823,289/106,240.50
  6. Step 6: Final answer
    x = 490,451.60

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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.