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Finding the Third Proportional to 135,969 and 293,817

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Solution

The third proportional to 135,969 and 293,817 is: 634,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,969 : 293,817 = 293,817 : x
  2. Step 2: Convert to fraction form
    135,969/293,817 = 293,817/x
  3. Step 3: Cross multiply
    135,969x = 293,817 × 293,817
  4. Step 4: Simplify right side
    135,969x = 86,328,429,489
  5. Step 5: Solve for x
    x = 86,328,429,489/135,969
  6. Step 6: Final answer
    x = 634,912.59

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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.