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Finding the Third Proportional to 204,248 and 299,505

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Solution

The third proportional to 204,248 and 299,505 is: 439,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,248 : 299,505 = 299,505 : x
  2. Step 2: Convert to fraction form
    204,248/299,505 = 299,505/x
  3. Step 3: Cross multiply
    204,248x = 299,505 × 299,505
  4. Step 4: Simplify right side
    204,248x = 89,703,245,025
  5. Step 5: Solve for x
    x = 89,703,245,025/204,248
  6. Step 6: Final answer
    x = 439,187.87

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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.