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Finding the Third Proportional to 156,793 and 343,610

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Solution

The third proportional to 156,793 and 343,610 is: 753,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,793 : 343,610 = 343,610 : x
  2. Step 2: Convert to fraction form
    156,793/343,610 = 343,610/x
  3. Step 3: Cross multiply
    156,793x = 343,610 × 343,610
  4. Step 4: Simplify right side
    156,793x = 118,067,832,100
  5. Step 5: Solve for x
    x = 118,067,832,100/156,793
  6. Step 6: Final answer
    x = 753,017.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.