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Finding the Third Proportional to 80,700.75 and 167,206.50

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Solution

The third proportional to 80,700.75 and 167,206.50 is: 346,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,700.75 : 167,206.50 = 167,206.50 : x
  2. Step 2: Convert to fraction form
    80,700.75/167,206.50 = 167,206.50/x
  3. Step 3: Cross multiply
    80,700.75x = 167,206.50 × 167,206.50
  4. Step 4: Simplify right side
    80,700.75x = 27,958,013,642.25
  5. Step 5: Solve for x
    x = 27,958,013,642.25/80,700.75
  6. Step 6: Final answer
    x = 346,440.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.