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Finding the Third Proportional to 204,273 and 299,841

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Solution

The third proportional to 204,273 and 299,841 is: 440,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,273 : 299,841 = 299,841 : x
  2. Step 2: Convert to fraction form
    204,273/299,841 = 299,841/x
  3. Step 3: Cross multiply
    204,273x = 299,841 × 299,841
  4. Step 4: Simplify right side
    204,273x = 89,904,625,281
  5. Step 5: Solve for x
    x = 89,904,625,281/204,273
  6. Step 6: Final answer
    x = 440,119.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.