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Finding the Third Proportional to 133,002 and 200,882.25

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Solution

The third proportional to 133,002 and 200,882.25 is: 303,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,002 : 200,882.25 = 200,882.25 : x
  2. Step 2: Convert to fraction form
    133,002/200,882.25 = 200,882.25/x
  3. Step 3: Cross multiply
    133,002x = 200,882.25 × 200,882.25
  4. Step 4: Simplify right side
    133,002x = 40,353,678,365.06
  5. Step 5: Solve for x
    x = 40,353,678,365.06/133,002
  6. Step 6: Final answer
    x = 303,406.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.