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Finding the Third Proportional to 157,524 and 339,936

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Solution

The third proportional to 157,524 and 339,936 is: 733,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,524 : 339,936 = 339,936 : x
  2. Step 2: Convert to fraction form
    157,524/339,936 = 339,936/x
  3. Step 3: Cross multiply
    157,524x = 339,936 × 339,936
  4. Step 4: Simplify right side
    157,524x = 115,556,484,096
  5. Step 5: Solve for x
    x = 115,556,484,096/157,524
  6. Step 6: Final answer
    x = 733,580.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.