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Finding the Third Proportional to 156,764 and 332,896

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Solution

The third proportional to 156,764 and 332,896 is: 706,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,764 : 332,896 = 332,896 : x
  2. Step 2: Convert to fraction form
    156,764/332,896 = 332,896/x
  3. Step 3: Cross multiply
    156,764x = 332,896 × 332,896
  4. Step 4: Simplify right side
    156,764x = 110,819,746,816
  5. Step 5: Solve for x
    x = 110,819,746,816/156,764
  6. Step 6: Final answer
    x = 706,920.89

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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.