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Finding the Third Proportional to 135,904.50 and 290,508.75

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Solution

The third proportional to 135,904.50 and 290,508.75 is: 620,989.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,904.50 : 290,508.75 = 290,508.75 : x
  2. Step 2: Convert to fraction form
    135,904.50/290,508.75 = 290,508.75/x
  3. Step 3: Cross multiply
    135,904.50x = 290,508.75 × 290,508.75
  4. Step 4: Simplify right side
    135,904.50x = 84,395,333,826.56
  5. Step 5: Solve for x
    x = 84,395,333,826.56/135,904.50
  6. Step 6: Final answer
    x = 620,989.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.