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Finding the Third Proportional to 175,896 and 367,788

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Solution

The third proportional to 175,896 and 367,788 is: 769,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,896 : 367,788 = 367,788 : x
  2. Step 2: Convert to fraction form
    175,896/367,788 = 367,788/x
  3. Step 3: Cross multiply
    175,896x = 367,788 × 367,788
  4. Step 4: Simplify right side
    175,896x = 135,268,012,944
  5. Step 5: Solve for x
    x = 135,268,012,944/175,896
  6. Step 6: Final answer
    x = 769,022.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.