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Finding the Third Proportional to 156,793 and 235,543

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Solution

The third proportional to 156,793 and 235,543 is: 353,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,793 : 235,543 = 235,543 : x
  2. Step 2: Convert to fraction form
    156,793/235,543 = 235,543/x
  3. Step 3: Cross multiply
    156,793x = 235,543 × 235,543
  4. Step 4: Simplify right side
    156,793x = 55,480,504,849
  5. Step 5: Solve for x
    x = 55,480,504,849/156,793
  6. Step 6: Final answer
    x = 353,845.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.