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Finding the Third Proportional to 160,911 and 347,115

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Solution

The third proportional to 160,911 and 347,115 is: 748,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,911 : 347,115 = 347,115 : x
  2. Step 2: Convert to fraction form
    160,911/347,115 = 347,115/x
  3. Step 3: Cross multiply
    160,911x = 347,115 × 347,115
  4. Step 4: Simplify right side
    160,911x = 120,488,823,225
  5. Step 5: Solve for x
    x = 120,488,823,225/160,911
  6. Step 6: Final answer
    x = 748,791.71

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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.