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Finding the Third Proportional to 204,044.06 and 299,664.56

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Solution

The third proportional to 204,044.06 and 299,664.56 is: 440,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,044.06 : 299,664.56 = 299,664.56 : x
  2. Step 2: Convert to fraction form
    204,044.06/299,664.56 = 299,664.56/x
  3. Step 3: Cross multiply
    204,044.06x = 299,664.56 × 299,664.56
  4. Step 4: Simplify right side
    204,044.06x = 89,798,850,018.32
  5. Step 5: Solve for x
    x = 89,798,850,018.32/204,044.06
  6. Step 6: Final answer
    x = 440,095.38

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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.