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Finding the Third Proportional to 204,484 and 313,863

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Solution

The third proportional to 204,484 and 313,863 is: 481,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,484 : 313,863 = 313,863 : x
  2. Step 2: Convert to fraction form
    204,484/313,863 = 313,863/x
  3. Step 3: Cross multiply
    204,484x = 313,863 × 313,863
  4. Step 4: Simplify right side
    204,484x = 98,509,982,769
  5. Step 5: Solve for x
    x = 98,509,982,769/204,484
  6. Step 6: Final answer
    x = 481,749.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.