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Finding the Third Proportional to 135,244 and 293,816

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Solution

The third proportional to 135,244 and 293,816 is: 638,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,244 : 293,816 = 293,816 : x
  2. Step 2: Convert to fraction form
    135,244/293,816 = 293,816/x
  3. Step 3: Cross multiply
    135,244x = 293,816 × 293,816
  4. Step 4: Simplify right side
    135,244x = 86,327,841,856
  5. Step 5: Solve for x
    x = 86,327,841,856/135,244
  6. Step 6: Final answer
    x = 638,311.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.