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Finding the Third Proportional to 135,969 and 293,806

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Solution

The third proportional to 135,969 and 293,806 is: 634,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,969 : 293,806 = 293,806 : x
  2. Step 2: Convert to fraction form
    135,969/293,806 = 293,806/x
  3. Step 3: Cross multiply
    135,969x = 293,806 × 293,806
  4. Step 4: Simplify right side
    135,969x = 86,321,965,636
  5. Step 5: Solve for x
    x = 86,321,965,636/135,969
  6. Step 6: Final answer
    x = 634,865.05

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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.