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Finding the Third Proportional to 135,550.13 and 297,697.50

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Solution

The third proportional to 135,550.13 and 297,697.50 is: 653,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,550.13 : 297,697.50 = 297,697.50 : x
  2. Step 2: Convert to fraction form
    135,550.13/297,697.50 = 297,697.50/x
  3. Step 3: Cross multiply
    135,550.13x = 297,697.50 × 297,697.50
  4. Step 4: Simplify right side
    135,550.13x = 88,623,801,506.25
  5. Step 5: Solve for x
    x = 88,623,801,506.25/135,550.13
  6. Step 6: Final answer
    x = 653,808.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.