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Finding the Third Proportional to 157,592 and 231,204

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Solution

The third proportional to 157,592 and 231,204 is: 339,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,592 : 231,204 = 231,204 : x
  2. Step 2: Convert to fraction form
    157,592/231,204 = 231,204/x
  3. Step 3: Cross multiply
    157,592x = 231,204 × 231,204
  4. Step 4: Simplify right side
    157,592x = 53,455,289,616
  5. Step 5: Solve for x
    x = 53,455,289,616/157,592
  6. Step 6: Final answer
    x = 339,200.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.