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Finding the Third Proportional to 204,252 and 299,511

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Solution

The third proportional to 204,252 and 299,511 is: 439,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,252 : 299,511 = 299,511 : x
  2. Step 2: Convert to fraction form
    204,252/299,511 = 299,511/x
  3. Step 3: Cross multiply
    204,252x = 299,511 × 299,511
  4. Step 4: Simplify right side
    204,252x = 89,706,839,121
  5. Step 5: Solve for x
    x = 89,706,839,121/204,252
  6. Step 6: Final answer
    x = 439,196.87

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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.