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Finding the Third Proportional to 156,724 and 332,816

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Solution

The third proportional to 156,724 and 332,816 is: 706,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,724 : 332,816 = 332,816 : x
  2. Step 2: Convert to fraction form
    156,724/332,816 = 332,816/x
  3. Step 3: Cross multiply
    156,724x = 332,816 × 332,816
  4. Step 4: Simplify right side
    156,724x = 110,766,489,856
  5. Step 5: Solve for x
    x = 110,766,489,856/156,724
  6. Step 6: Final answer
    x = 706,761.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.