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Finding the Third Proportional to 203,735.25 and 299,359.13

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Solution

The third proportional to 203,735.25 and 299,359.13 is: 439,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,735.25 : 299,359.13 = 299,359.13 : x
  2. Step 2: Convert to fraction form
    203,735.25/299,359.13 = 299,359.13/x
  3. Step 3: Cross multiply
    203,735.25x = 299,359.13 × 299,359.13
  4. Step 4: Simplify right side
    203,735.25x = 89,615,885,720.77
  5. Step 5: Solve for x
    x = 89,615,885,720.77/203,735.25
  6. Step 6: Final answer
    x = 439,864.41

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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.