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Finding the Third Proportional to 193,257.56 and 288,997.88

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Solution

The third proportional to 193,257.56 and 288,997.88 is: 432,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,257.56 : 288,997.88 = 288,997.88 : x
  2. Step 2: Convert to fraction form
    193,257.56/288,997.88 = 288,997.88/x
  3. Step 3: Cross multiply
    193,257.56x = 288,997.88 × 288,997.88
  4. Step 4: Simplify right side
    193,257.56x = 83,519,771,754.52
  5. Step 5: Solve for x
    x = 83,519,771,754.52/193,257.56
  6. Step 6: Final answer
    x = 432,168.19

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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.