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Finding the Third Proportional to 135,624 and 200,670

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Solution

The third proportional to 135,624 and 200,670 is: 296,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,624 : 200,670 = 200,670 : x
  2. Step 2: Convert to fraction form
    135,624/200,670 = 200,670/x
  3. Step 3: Cross multiply
    135,624x = 200,670 × 200,670
  4. Step 4: Simplify right side
    135,624x = 40,268,448,900
  5. Step 5: Solve for x
    x = 40,268,448,900/135,624
  6. Step 6: Final answer
    x = 296,912.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.