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Finding the Third Proportional to 107,566 and 236,578

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Solution

The third proportional to 107,566 and 236,578 is: 520,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,566 : 236,578 = 236,578 : x
  2. Step 2: Convert to fraction form
    107,566/236,578 = 236,578/x
  3. Step 3: Cross multiply
    107,566x = 236,578 × 236,578
  4. Step 4: Simplify right side
    107,566x = 55,969,150,084
  5. Step 5: Solve for x
    x = 55,969,150,084/107,566
  6. Step 6: Final answer
    x = 520,323.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.