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Finding the Third Proportional to 117,783 and 241,803

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Solution

The third proportional to 117,783 and 241,803 is: 496,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,783 : 241,803 = 241,803 : x
  2. Step 2: Convert to fraction form
    117,783/241,803 = 241,803/x
  3. Step 3: Cross multiply
    117,783x = 241,803 × 241,803
  4. Step 4: Simplify right side
    117,783x = 58,468,690,809
  5. Step 5: Solve for x
    x = 58,468,690,809/117,783
  6. Step 6: Final answer
    x = 496,410.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.