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Finding the Third Proportional to 135,933 and 293,739

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Solution

The third proportional to 135,933 and 293,739 is: 634,743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,933 : 293,739 = 293,739 : x
  2. Step 2: Convert to fraction form
    135,933/293,739 = 293,739/x
  3. Step 3: Cross multiply
    135,933x = 293,739 × 293,739
  4. Step 4: Simplify right side
    135,933x = 86,282,600,121
  5. Step 5: Solve for x
    x = 86,282,600,121/135,933
  6. Step 6: Final answer
    x = 634,743.59

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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.