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Finding the Third Proportional to 109,826 and 241,036

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Solution

The third proportional to 109,826 and 241,036 is: 529,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,826 : 241,036 = 241,036 : x
  2. Step 2: Convert to fraction form
    109,826/241,036 = 241,036/x
  3. Step 3: Cross multiply
    109,826x = 241,036 × 241,036
  4. Step 4: Simplify right side
    109,826x = 58,098,353,296
  5. Step 5: Solve for x
    x = 58,098,353,296/109,826
  6. Step 6: Final answer
    x = 529,003.64

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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.