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Finding the Third Proportional to 158,950 and 345,238

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Solution

The third proportional to 158,950 and 345,238 is: 749,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,950 : 345,238 = 345,238 : x
  2. Step 2: Convert to fraction form
    158,950/345,238 = 345,238/x
  3. Step 3: Cross multiply
    158,950x = 345,238 × 345,238
  4. Step 4: Simplify right side
    158,950x = 119,189,276,644
  5. Step 5: Solve for x
    x = 119,189,276,644/158,950
  6. Step 6: Final answer
    x = 749,853.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.