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Finding the Third Proportional to 156,739 and 369,941

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Solution

The third proportional to 156,739 and 369,941 is: 873,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,739 : 369,941 = 369,941 : x
  2. Step 2: Convert to fraction form
    156,739/369,941 = 369,941/x
  3. Step 3: Cross multiply
    156,739x = 369,941 × 369,941
  4. Step 4: Simplify right side
    156,739x = 136,856,343,481
  5. Step 5: Solve for x
    x = 136,856,343,481/156,739
  6. Step 6: Final answer
    x = 873,147.99

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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.