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Finding the Third Proportional to 175,802 and 378,982

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Solution

The third proportional to 175,802 and 378,982 is: 816,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,802 : 378,982 = 378,982 : x
  2. Step 2: Convert to fraction form
    175,802/378,982 = 378,982/x
  3. Step 3: Cross multiply
    175,802x = 378,982 × 378,982
  4. Step 4: Simplify right side
    175,802x = 143,627,356,324
  5. Step 5: Solve for x
    x = 143,627,356,324/175,802
  6. Step 6: Final answer
    x = 816,983.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.