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Finding the Third Proportional to 135,901.55 and 294,202.76

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Solution

The third proportional to 135,901.55 and 294,202.76 is: 636,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,901.55 : 294,202.76 = 294,202.76 : x
  2. Step 2: Convert to fraction form
    135,901.55/294,202.76 = 294,202.76/x
  3. Step 3: Cross multiply
    135,901.55x = 294,202.76 × 294,202.76
  4. Step 4: Simplify right side
    135,901.55x = 86,555,262,704.48
  5. Step 5: Solve for x
    x = 86,555,262,704.48/135,901.55
  6. Step 6: Final answer
    x = 636,896.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.