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Finding the Third Proportional to 141,933 and 309,990

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Solution

The third proportional to 141,933 and 309,990 is: 677,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,933 : 309,990 = 309,990 : x
  2. Step 2: Convert to fraction form
    141,933/309,990 = 309,990/x
  3. Step 3: Cross multiply
    141,933x = 309,990 × 309,990
  4. Step 4: Simplify right side
    141,933x = 96,093,800,100
  5. Step 5: Solve for x
    x = 96,093,800,100/141,933
  6. Step 6: Final answer
    x = 677,036.35

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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.