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Finding the Third Proportional to 133,699 and 200,578

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Solution

The third proportional to 133,699 and 200,578 is: 300,911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,699 : 200,578 = 200,578 : x
  2. Step 2: Convert to fraction form
    133,699/200,578 = 200,578/x
  3. Step 3: Cross multiply
    133,699x = 200,578 × 200,578
  4. Step 4: Simplify right side
    133,699x = 40,231,534,084
  5. Step 5: Solve for x
    x = 40,231,534,084/133,699
  6. Step 6: Final answer
    x = 300,911.26

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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.