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Finding the Third Proportional to 204,254 and 299,512

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Solution

The third proportional to 204,254 and 299,512 is: 439,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,254 : 299,512 = 299,512 : x
  2. Step 2: Convert to fraction form
    204,254/299,512 = 299,512/x
  3. Step 3: Cross multiply
    204,254x = 299,512 × 299,512
  4. Step 4: Simplify right side
    204,254x = 89,707,438,144
  5. Step 5: Solve for x
    x = 89,707,438,144/204,254
  6. Step 6: Final answer
    x = 439,195.50

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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.