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Finding the Third Proportional to 135,305.44 and 293,661.70

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Solution

The third proportional to 135,305.44 and 293,661.70 is: 637,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,305.44 : 293,661.70 = 293,661.70 : x
  2. Step 2: Convert to fraction form
    135,305.44/293,661.70 = 293,661.70/x
  3. Step 3: Cross multiply
    135,305.44x = 293,661.70 × 293,661.70
  4. Step 4: Simplify right side
    135,305.44x = 86,237,195,882.28
  5. Step 5: Solve for x
    x = 86,237,195,882.28/135,305.44
  6. Step 6: Final answer
    x = 637,352.03

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