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Finding the Third Proportional to 183,998 and 269,937

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Solution

The third proportional to 183,998 and 269,937 is: 396,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,998 : 269,937 = 269,937 : x
  2. Step 2: Convert to fraction form
    183,998/269,937 = 269,937/x
  3. Step 3: Cross multiply
    183,998x = 269,937 × 269,937
  4. Step 4: Simplify right side
    183,998x = 72,865,983,969
  5. Step 5: Solve for x
    x = 72,865,983,969/183,998
  6. Step 6: Final answer
    x = 396,015.09

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Why These Related Problems?

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