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Finding the Third Proportional to 158,078 and 241,131

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Solution

The third proportional to 158,078 and 241,131 is: 367,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,078 : 241,131 = 241,131 : x
  2. Step 2: Convert to fraction form
    158,078/241,131 = 241,131/x
  3. Step 3: Cross multiply
    158,078x = 241,131 × 241,131
  4. Step 4: Simplify right side
    158,078x = 58,144,159,161
  5. Step 5: Solve for x
    x = 58,144,159,161/158,078
  6. Step 6: Final answer
    x = 367,819.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.