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Finding the Third Proportional to 193,529.25 and 293,209.88

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Solution

The third proportional to 193,529.25 and 293,209.88 is: 444,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,529.25 : 293,209.88 = 293,209.88 : x
  2. Step 2: Convert to fraction form
    193,529.25/293,209.88 = 293,209.88/x
  3. Step 3: Cross multiply
    193,529.25x = 293,209.88 × 293,209.88
  4. Step 4: Simplify right side
    193,529.25x = 85,972,030,797.52
  5. Step 5: Solve for x
    x = 85,972,030,797.52/193,529.25
  6. Step 6: Final answer
    x = 444,232.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.