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Finding the Third Proportional to 156,737 and 369,936

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Solution

The third proportional to 156,737 and 369,936 is: 873,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,737 : 369,936 = 369,936 : x
  2. Step 2: Convert to fraction form
    156,737/369,936 = 369,936/x
  3. Step 3: Cross multiply
    156,737x = 369,936 × 369,936
  4. Step 4: Simplify right side
    156,737x = 136,852,644,096
  5. Step 5: Solve for x
    x = 136,852,644,096/156,737
  6. Step 6: Final answer
    x = 873,135.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.