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Finding the Third Proportional to 158,086 and 241,143

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Solution

The third proportional to 158,086 and 241,143 is: 367,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,086 : 241,143 = 241,143 : x
  2. Step 2: Convert to fraction form
    158,086/241,143 = 241,143/x
  3. Step 3: Cross multiply
    158,086x = 241,143 × 241,143
  4. Step 4: Simplify right side
    158,086x = 58,149,946,449
  5. Step 5: Solve for x
    x = 58,149,946,449/158,086
  6. Step 6: Final answer
    x = 367,837.42

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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.