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Finding the Third Proportional to 135,150.75 and 194,680.13

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Solution

The third proportional to 135,150.75 and 194,680.13 is: 280,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,150.75 : 194,680.13 = 194,680.13 : x
  2. Step 2: Convert to fraction form
    135,150.75/194,680.13 = 194,680.13/x
  3. Step 3: Cross multiply
    135,150.75x = 194,680.13 × 194,680.13
  4. Step 4: Simplify right side
    135,150.75x = 37,900,351,070.02
  5. Step 5: Solve for x
    x = 37,900,351,070.02/135,150.75
  6. Step 6: Final answer
    x = 280,430.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.