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Finding the Third Proportional to 107,799 and 233,598

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Solution

The third proportional to 107,799 and 233,598 is: 506,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,799 : 233,598 = 233,598 : x
  2. Step 2: Convert to fraction form
    107,799/233,598 = 233,598/x
  3. Step 3: Cross multiply
    107,799x = 233,598 × 233,598
  4. Step 4: Simplify right side
    107,799x = 54,568,025,604
  5. Step 5: Solve for x
    x = 54,568,025,604/107,799
  6. Step 6: Final answer
    x = 506,201.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.