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Finding the Third Proportional to 133,698.75 and 200,577

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Solution

The third proportional to 133,698.75 and 200,577 is: 300,908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,698.75 : 200,577 = 200,577 : x
  2. Step 2: Convert to fraction form
    133,698.75/200,577 = 200,577/x
  3. Step 3: Cross multiply
    133,698.75x = 200,577 × 200,577
  4. Step 4: Simplify right side
    133,698.75x = 40,231,132,929
  5. Step 5: Solve for x
    x = 40,231,132,929/133,698.75
  6. Step 6: Final answer
    x = 300,908.82

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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.