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Finding the Third Proportional to 149,861 and 232,029

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Solution

The third proportional to 149,861 and 232,029 is: 359,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,861 : 232,029 = 232,029 : x
  2. Step 2: Convert to fraction form
    149,861/232,029 = 232,029/x
  3. Step 3: Cross multiply
    149,861x = 232,029 × 232,029
  4. Step 4: Simplify right side
    149,861x = 53,837,456,841
  5. Step 5: Solve for x
    x = 53,837,456,841/149,861
  6. Step 6: Final answer
    x = 359,249.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.