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Finding the Third Proportional to 193,032 and 290,965.50

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Solution

The third proportional to 193,032 and 290,965.50 is: 438,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,032 : 290,965.50 = 290,965.50 : x
  2. Step 2: Convert to fraction form
    193,032/290,965.50 = 290,965.50/x
  3. Step 3: Cross multiply
    193,032x = 290,965.50 × 290,965.50
  4. Step 4: Simplify right side
    193,032x = 84,660,922,190.25
  5. Step 5: Solve for x
    x = 84,660,922,190.25/193,032
  6. Step 6: Final answer
    x = 438,584.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.