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Finding the Third Proportional to 110,783 and 243,718

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Solution

The third proportional to 110,783 and 243,718 is: 536,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,783 : 243,718 = 243,718 : x
  2. Step 2: Convert to fraction form
    110,783/243,718 = 243,718/x
  3. Step 3: Cross multiply
    110,783x = 243,718 × 243,718
  4. Step 4: Simplify right side
    110,783x = 59,398,463,524
  5. Step 5: Solve for x
    x = 59,398,463,524/110,783
  6. Step 6: Final answer
    x = 536,169.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.