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Finding the Third Proportional to 135,473.77 and 208,311.75

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Solution

The third proportional to 135,473.77 and 208,311.75 is: 320,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,473.77 : 208,311.75 = 208,311.75 : x
  2. Step 2: Convert to fraction form
    135,473.77/208,311.75 = 208,311.75/x
  3. Step 3: Cross multiply
    135,473.77x = 208,311.75 × 208,311.75
  4. Step 4: Simplify right side
    135,473.77x = 43,393,785,188.06
  5. Step 5: Solve for x
    x = 43,393,785,188.06/135,473.77
  6. Step 6: Final answer
    x = 320,311.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.