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Finding the Third Proportional to 203,706 and 299,318

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Solution

The third proportional to 203,706 and 299,318 is: 439,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,706 : 299,318 = 299,318 : x
  2. Step 2: Convert to fraction form
    203,706/299,318 = 299,318/x
  3. Step 3: Cross multiply
    203,706x = 299,318 × 299,318
  4. Step 4: Simplify right side
    203,706x = 89,591,265,124
  5. Step 5: Solve for x
    x = 89,591,265,124/203,706
  6. Step 6: Final answer
    x = 439,806.71

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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.