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Finding the Third Proportional to 106,231 and 228,250

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Solution

The third proportional to 106,231 and 228,250 is: 490,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,231 : 228,250 = 228,250 : x
  2. Step 2: Convert to fraction form
    106,231/228,250 = 228,250/x
  3. Step 3: Cross multiply
    106,231x = 228,250 × 228,250
  4. Step 4: Simplify right side
    106,231x = 52,098,062,500
  5. Step 5: Solve for x
    x = 52,098,062,500/106,231
  6. Step 6: Final answer
    x = 490,422.40

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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.