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Finding the Third Proportional to 156,032 and 347,108

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Solution

The third proportional to 156,032 and 347,108 is: 772,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,032 : 347,108 = 347,108 : x
  2. Step 2: Convert to fraction form
    156,032/347,108 = 347,108/x
  3. Step 3: Cross multiply
    156,032x = 347,108 × 347,108
  4. Step 4: Simplify right side
    156,032x = 120,483,963,664
  5. Step 5: Solve for x
    x = 120,483,963,664/156,032
  6. Step 6: Final answer
    x = 772,174.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.