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Finding the Third Proportional to 156,759 and 332,886

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Solution

The third proportional to 156,759 and 332,886 is: 706,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,759 : 332,886 = 332,886 : x
  2. Step 2: Convert to fraction form
    156,759/332,886 = 332,886/x
  3. Step 3: Cross multiply
    156,759x = 332,886 × 332,886
  4. Step 4: Simplify right side
    156,759x = 110,813,088,996
  5. Step 5: Solve for x
    x = 110,813,088,996/156,759
  6. Step 6: Final answer
    x = 706,900.97

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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.