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Finding the Third Proportional to 106,460 and 231,819

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Solution

The third proportional to 106,460 and 231,819 is: 504,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,460 : 231,819 = 231,819 : x
  2. Step 2: Convert to fraction form
    106,460/231,819 = 231,819/x
  3. Step 3: Cross multiply
    106,460x = 231,819 × 231,819
  4. Step 4: Simplify right side
    106,460x = 53,740,048,761
  5. Step 5: Solve for x
    x = 53,740,048,761/106,460
  6. Step 6: Final answer
    x = 504,790.99

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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.