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Finding the Third Proportional to 234,826 and 356,723

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Solution

The third proportional to 234,826 and 356,723 is: 541,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,826 : 356,723 = 356,723 : x
  2. Step 2: Convert to fraction form
    234,826/356,723 = 356,723/x
  3. Step 3: Cross multiply
    234,826x = 356,723 × 356,723
  4. Step 4: Simplify right side
    234,826x = 127,251,298,729
  5. Step 5: Solve for x
    x = 127,251,298,729/234,826
  6. Step 6: Final answer
    x = 541,896.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.