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Finding the Third Proportional to 150,702 and 235,161

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Solution

The third proportional to 150,702 and 235,161 is: 366,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,702 : 235,161 = 235,161 : x
  2. Step 2: Convert to fraction form
    150,702/235,161 = 235,161/x
  3. Step 3: Cross multiply
    150,702x = 235,161 × 235,161
  4. Step 4: Simplify right side
    150,702x = 55,300,695,921
  5. Step 5: Solve for x
    x = 55,300,695,921/150,702
  6. Step 6: Final answer
    x = 366,953.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.