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Finding the Third Proportional to 135,080.25 and 293,944.25

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Solution

The third proportional to 135,080.25 and 293,944.25 is: 639,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,080.25 : 293,944.25 = 293,944.25 : x
  2. Step 2: Convert to fraction form
    135,080.25/293,944.25 = 293,944.25/x
  3. Step 3: Cross multiply
    135,080.25x = 293,944.25 × 293,944.25
  4. Step 4: Simplify right side
    135,080.25x = 86,403,222,108.06
  5. Step 5: Solve for x
    x = 86,403,222,108.06/135,080.25
  6. Step 6: Final answer
    x = 639,643.63

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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.