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Finding the Third Proportional to 106,341 and 231,999

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Solution

The third proportional to 106,341 and 231,999 is: 506,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,341 : 231,999 = 231,999 : x
  2. Step 2: Convert to fraction form
    106,341/231,999 = 231,999/x
  3. Step 3: Cross multiply
    106,341x = 231,999 × 231,999
  4. Step 4: Simplify right side
    106,341x = 53,823,536,001
  5. Step 5: Solve for x
    x = 53,823,536,001/106,341
  6. Step 6: Final answer
    x = 506,140.96

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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.