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Finding the Third Proportional to 190,932.19 and 404,007.75

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Solution

The third proportional to 190,932.19 and 404,007.75 is: 854,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,932.19 : 404,007.75 = 404,007.75 : x
  2. Step 2: Convert to fraction form
    190,932.19/404,007.75 = 404,007.75/x
  3. Step 3: Cross multiply
    190,932.19x = 404,007.75 × 404,007.75
  4. Step 4: Simplify right side
    190,932.19x = 163,222,262,060.06
  5. Step 5: Solve for x
    x = 163,222,262,060.06/190,932.19
  6. Step 6: Final answer
    x = 854,870.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.