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Finding the Third Proportional to 158,546 and 232,131

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Solution

The third proportional to 158,546 and 232,131 is: 339,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,546 : 232,131 = 232,131 : x
  2. Step 2: Convert to fraction form
    158,546/232,131 = 232,131/x
  3. Step 3: Cross multiply
    158,546x = 232,131 × 232,131
  4. Step 4: Simplify right side
    158,546x = 53,884,801,161
  5. Step 5: Solve for x
    x = 53,884,801,161/158,546
  6. Step 6: Final answer
    x = 339,868.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.