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Finding the Third Proportional to 107,484 and 233,375

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Solution

The third proportional to 107,484 and 233,375 is: 506,716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,484 : 233,375 = 233,375 : x
  2. Step 2: Convert to fraction form
    107,484/233,375 = 233,375/x
  3. Step 3: Cross multiply
    107,484x = 233,375 × 233,375
  4. Step 4: Simplify right side
    107,484x = 54,463,890,625
  5. Step 5: Solve for x
    x = 54,463,890,625/107,484
  6. Step 6: Final answer
    x = 506,716.26

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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.