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Finding the Third Proportional to 193,033.75 and 291,069.25

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Solution

The third proportional to 193,033.75 and 291,069.25 is: 438,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,033.75 : 291,069.25 = 291,069.25 : x
  2. Step 2: Convert to fraction form
    193,033.75/291,069.25 = 291,069.25/x
  3. Step 3: Cross multiply
    193,033.75x = 291,069.25 × 291,069.25
  4. Step 4: Simplify right side
    193,033.75x = 84,721,308,295.56
  5. Step 5: Solve for x
    x = 84,721,308,295.56/193,033.75
  6. Step 6: Final answer
    x = 438,893.76

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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.