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Finding the Third Proportional to 109,976 and 235,504

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Solution

The third proportional to 109,976 and 235,504 is: 504,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,976 : 235,504 = 235,504 : x
  2. Step 2: Convert to fraction form
    109,976/235,504 = 235,504/x
  3. Step 3: Cross multiply
    109,976x = 235,504 × 235,504
  4. Step 4: Simplify right side
    109,976x = 55,462,134,016
  5. Step 5: Solve for x
    x = 55,462,134,016/109,976
  6. Step 6: Final answer
    x = 504,311.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.