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Finding the Third Proportional to 156,738 and 369,937

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Solution

The third proportional to 156,738 and 369,937 is: 873,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,738 : 369,937 = 369,937 : x
  2. Step 2: Convert to fraction form
    156,738/369,937 = 369,937/x
  3. Step 3: Cross multiply
    156,738x = 369,937 × 369,937
  4. Step 4: Simplify right side
    156,738x = 136,853,383,969
  5. Step 5: Solve for x
    x = 136,853,383,969/156,738
  6. Step 6: Final answer
    x = 873,134.68

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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.