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Finding the Third Proportional to 203,486.50 and 299,141

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Solution

The third proportional to 203,486.50 and 299,141 is: 439,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,486.50 : 299,141 = 299,141 : x
  2. Step 2: Convert to fraction form
    203,486.50/299,141 = 299,141/x
  3. Step 3: Cross multiply
    203,486.50x = 299,141 × 299,141
  4. Step 4: Simplify right side
    203,486.50x = 89,485,337,881
  5. Step 5: Solve for x
    x = 89,485,337,881/203,486.50
  6. Step 6: Final answer
    x = 439,760.56

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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.