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Finding the Third Proportional to 107,967 and 232,337

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Solution

The third proportional to 107,967 and 232,337 is: 499,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,967 : 232,337 = 232,337 : x
  2. Step 2: Convert to fraction form
    107,967/232,337 = 232,337/x
  3. Step 3: Cross multiply
    107,967x = 232,337 × 232,337
  4. Step 4: Simplify right side
    107,967x = 53,980,481,569
  5. Step 5: Solve for x
    x = 53,980,481,569/107,967
  6. Step 6: Final answer
    x = 499,972.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.