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Finding the Third Proportional to 135,191.81 and 312,959.81

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Solution

The third proportional to 135,191.81 and 312,959.81 is: 724,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,191.81 : 312,959.81 = 312,959.81 : x
  2. Step 2: Convert to fraction form
    135,191.81/312,959.81 = 312,959.81/x
  3. Step 3: Cross multiply
    135,191.81x = 312,959.81 × 312,959.81
  4. Step 4: Simplify right side
    135,191.81x = 97,943,844,240.04
  5. Step 5: Solve for x
    x = 97,943,844,240.04/135,191.81
  6. Step 6: Final answer
    x = 724,480.59

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.