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Finding the Third Proportional to 106,260 and 231,213

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Solution

The third proportional to 106,260 and 231,213 is: 503,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,260 : 231,213 = 231,213 : x
  2. Step 2: Convert to fraction form
    106,260/231,213 = 231,213/x
  3. Step 3: Cross multiply
    106,260x = 231,213 × 231,213
  4. Step 4: Simplify right side
    106,260x = 53,459,451,369
  5. Step 5: Solve for x
    x = 53,459,451,369/106,260
  6. Step 6: Final answer
    x = 503,100.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.