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Finding the Third Proportional to 109,821 and 241,026

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Solution

The third proportional to 109,821 and 241,026 is: 528,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,821 : 241,026 = 241,026 : x
  2. Step 2: Convert to fraction form
    109,821/241,026 = 241,026/x
  3. Step 3: Cross multiply
    109,821x = 241,026 × 241,026
  4. Step 4: Simplify right side
    109,821x = 58,093,532,676
  5. Step 5: Solve for x
    x = 58,093,532,676/109,821
  6. Step 6: Final answer
    x = 528,983.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.