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Finding the Third Proportional to 203,825.81 and 299,743.88

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Solution

The third proportional to 203,825.81 and 299,743.88 is: 440,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,825.81 : 299,743.88 = 299,743.88 : x
  2. Step 2: Convert to fraction form
    203,825.81/299,743.88 = 299,743.88/x
  3. Step 3: Cross multiply
    203,825.81x = 299,743.88 × 299,743.88
  4. Step 4: Simplify right side
    203,825.81x = 89,846,390,600.02
  5. Step 5: Solve for x
    x = 89,846,390,600.02/203,825.81
  6. Step 6: Final answer
    x = 440,799.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.