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Finding the Third Proportional to 193,293 and 290,297.25

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Solution

The third proportional to 193,293 and 290,297.25 is: 435,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,293 : 290,297.25 = 290,297.25 : x
  2. Step 2: Convert to fraction form
    193,293/290,297.25 = 290,297.25/x
  3. Step 3: Cross multiply
    193,293x = 290,297.25 × 290,297.25
  4. Step 4: Simplify right side
    193,293x = 84,272,493,357.56
  5. Step 5: Solve for x
    x = 84,272,493,357.56/193,293
  6. Step 6: Final answer
    x = 435,983.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.