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Finding the Third Proportional to 109,028.25 and 231,266.25

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Solution

The third proportional to 109,028.25 and 231,266.25 is: 490,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,028.25 : 231,266.25 = 231,266.25 : x
  2. Step 2: Convert to fraction form
    109,028.25/231,266.25 = 231,266.25/x
  3. Step 3: Cross multiply
    109,028.25x = 231,266.25 × 231,266.25
  4. Step 4: Simplify right side
    109,028.25x = 53,484,078,389.06
  5. Step 5: Solve for x
    x = 53,484,078,389.06/109,028.25
  6. Step 6: Final answer
    x = 490,552.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.