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Finding the Third Proportional to 156,741 and 235,109

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Solution

The third proportional to 156,741 and 235,109 is: 352,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,741 : 235,109 = 235,109 : x
  2. Step 2: Convert to fraction form
    156,741/235,109 = 235,109/x
  3. Step 3: Cross multiply
    156,741x = 235,109 × 235,109
  4. Step 4: Simplify right side
    156,741x = 55,276,241,881
  5. Step 5: Solve for x
    x = 55,276,241,881/156,741
  6. Step 6: Final answer
    x = 352,659.75

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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.