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Finding the Third Proportional to 157,704 and 341,936

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Solution

The third proportional to 157,704 and 341,936 is: 741,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,704 : 341,936 = 341,936 : x
  2. Step 2: Convert to fraction form
    157,704/341,936 = 341,936/x
  3. Step 3: Cross multiply
    157,704x = 341,936 × 341,936
  4. Step 4: Simplify right side
    157,704x = 116,920,228,096
  5. Step 5: Solve for x
    x = 116,920,228,096/157,704
  6. Step 6: Final answer
    x = 741,390.38

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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.