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Finding the Third Proportional to 133,697.25 and 200,574.56

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Solution

The third proportional to 133,697.25 and 200,574.56 is: 300,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,697.25 : 200,574.56 = 200,574.56 : x
  2. Step 2: Convert to fraction form
    133,697.25/200,574.56 = 200,574.56/x
  3. Step 3: Cross multiply
    133,697.25x = 200,574.56 × 200,574.56
  4. Step 4: Simplify right side
    133,697.25x = 40,230,155,122.07
  5. Step 5: Solve for x
    x = 40,230,155,122.07/133,697.25
  6. Step 6: Final answer
    x = 300,904.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.