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Finding the Third Proportional to 204,250 and 299,508

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Solution

The third proportional to 204,250 and 299,508 is: 439,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,250 : 299,508 = 299,508 : x
  2. Step 2: Convert to fraction form
    204,250/299,508 = 299,508/x
  3. Step 3: Cross multiply
    204,250x = 299,508 × 299,508
  4. Step 4: Simplify right side
    204,250x = 89,705,042,064
  5. Step 5: Solve for x
    x = 89,705,042,064/204,250
  6. Step 6: Final answer
    x = 439,192.37

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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.