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Finding the Third Proportional to 204,146 and 300,384

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Solution

The third proportional to 204,146 and 300,384 is: 441,990.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,146 : 300,384 = 300,384 : x
  2. Step 2: Convert to fraction form
    204,146/300,384 = 300,384/x
  3. Step 3: Cross multiply
    204,146x = 300,384 × 300,384
  4. Step 4: Simplify right side
    204,146x = 90,230,547,456
  5. Step 5: Solve for x
    x = 90,230,547,456/204,146
  6. Step 6: Final answer
    x = 441,990.28

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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.