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Finding the Third Proportional to 135,484.50 and 190,623.75

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Solution

The third proportional to 135,484.50 and 190,623.75 is: 268,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,484.50 : 190,623.75 = 190,623.75 : x
  2. Step 2: Convert to fraction form
    135,484.50/190,623.75 = 190,623.75/x
  3. Step 3: Cross multiply
    135,484.50x = 190,623.75 × 190,623.75
  4. Step 4: Simplify right side
    135,484.50x = 36,337,414,064.06
  5. Step 5: Solve for x
    x = 36,337,414,064.06/135,484.50
  6. Step 6: Final answer
    x = 268,203.48

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.