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Finding the Third Proportional to 135,092.81 and 293,969.25

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Solution

The third proportional to 135,092.81 and 293,969.25 is: 639,692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,092.81 : 293,969.25 = 293,969.25 : x
  2. Step 2: Convert to fraction form
    135,092.81/293,969.25 = 293,969.25/x
  3. Step 3: Cross multiply
    135,092.81x = 293,969.25 × 293,969.25
  4. Step 4: Simplify right side
    135,092.81x = 86,417,919,945.56
  5. Step 5: Solve for x
    x = 86,417,919,945.56/135,092.81
  6. Step 6: Final answer
    x = 639,692.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.