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Finding the Third Proportional to 203,682.09 and 299,282.34

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Solution

The third proportional to 203,682.09 and 299,282.34 is: 439,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,682.09 : 299,282.34 = 299,282.34 : x
  2. Step 2: Convert to fraction form
    203,682.09/299,282.34 = 299,282.34/x
  3. Step 3: Cross multiply
    203,682.09x = 299,282.34 × 299,282.34
  4. Step 4: Simplify right side
    203,682.09x = 89,569,921,280.49
  5. Step 5: Solve for x
    x = 89,569,921,280.49/203,682.09
  6. Step 6: Final answer
    x = 439,753.54

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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.