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Finding the Third Proportional to 156,745 and 235,115

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Solution

The third proportional to 156,745 and 235,115 is: 352,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,745 : 235,115 = 235,115 : x
  2. Step 2: Convert to fraction form
    156,745/235,115 = 235,115/x
  3. Step 3: Cross multiply
    156,745x = 235,115 × 235,115
  4. Step 4: Simplify right side
    156,745x = 55,279,063,225
  5. Step 5: Solve for x
    x = 55,279,063,225/156,745
  6. Step 6: Final answer
    x = 352,668.75

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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.