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Finding the Third Proportional to 106,151 and 228,025

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Solution

The third proportional to 106,151 and 228,025 is: 489,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,151 : 228,025 = 228,025 : x
  2. Step 2: Convert to fraction form
    106,151/228,025 = 228,025/x
  3. Step 3: Cross multiply
    106,151x = 228,025 × 228,025
  4. Step 4: Simplify right side
    106,151x = 51,995,400,625
  5. Step 5: Solve for x
    x = 51,995,400,625/106,151
  6. Step 6: Final answer
    x = 489,824.88

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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.