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Finding the Third Proportional to 107,571 and 233,286

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Solution

The third proportional to 107,571 and 233,286 is: 505,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,571 : 233,286 = 233,286 : x
  2. Step 2: Convert to fraction form
    107,571/233,286 = 233,286/x
  3. Step 3: Cross multiply
    107,571x = 233,286 × 233,286
  4. Step 4: Simplify right side
    107,571x = 54,422,357,796
  5. Step 5: Solve for x
    x = 54,422,357,796/107,571
  6. Step 6: Final answer
    x = 505,920.35

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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.