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Finding the Third Proportional to 140,873 and 206,998

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Solution

The third proportional to 140,873 and 206,998 is: 304,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,873 : 206,998 = 206,998 : x
  2. Step 2: Convert to fraction form
    140,873/206,998 = 206,998/x
  3. Step 3: Cross multiply
    140,873x = 206,998 × 206,998
  4. Step 4: Simplify right side
    140,873x = 42,848,172,004
  5. Step 5: Solve for x
    x = 42,848,172,004/140,873
  6. Step 6: Final answer
    x = 304,161.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.