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Finding the Third Proportional to 156,042 and 235,161

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Solution

The third proportional to 156,042 and 235,161 is: 354,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,042 : 235,161 = 235,161 : x
  2. Step 2: Convert to fraction form
    156,042/235,161 = 235,161/x
  3. Step 3: Cross multiply
    156,042x = 235,161 × 235,161
  4. Step 4: Simplify right side
    156,042x = 55,300,695,921
  5. Step 5: Solve for x
    x = 55,300,695,921/156,042
  6. Step 6: Final answer
    x = 354,396.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.