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Finding the Third Proportional to 156,743 and 354,759

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Solution

The third proportional to 156,743 and 354,759 is: 802,931.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,743 : 354,759 = 354,759 : x
  2. Step 2: Convert to fraction form
    156,743/354,759 = 354,759/x
  3. Step 3: Cross multiply
    156,743x = 354,759 × 354,759
  4. Step 4: Simplify right side
    156,743x = 125,853,948,081
  5. Step 5: Solve for x
    x = 125,853,948,081/156,743
  6. Step 6: Final answer
    x = 802,931.86

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.