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Finding the Third Proportional to 157,524 and 339,935

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Solution

The third proportional to 157,524 and 339,935 is: 733,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,524 : 339,935 = 339,935 : x
  2. Step 2: Convert to fraction form
    157,524/339,935 = 339,935/x
  3. Step 3: Cross multiply
    157,524x = 339,935 × 339,935
  4. Step 4: Simplify right side
    157,524x = 115,555,804,225
  5. Step 5: Solve for x
    x = 115,555,804,225/157,524
  6. Step 6: Final answer
    x = 733,575.86

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Why These Related Problems?

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