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Finding the Third Proportional to 157,158 and 236,199

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Solution

The third proportional to 157,158 and 236,199 is: 354,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,158 : 236,199 = 236,199 : x
  2. Step 2: Convert to fraction form
    157,158/236,199 = 236,199/x
  3. Step 3: Cross multiply
    157,158x = 236,199 × 236,199
  4. Step 4: Simplify right side
    157,158x = 55,789,967,601
  5. Step 5: Solve for x
    x = 55,789,967,601/157,158
  6. Step 6: Final answer
    x = 354,992.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.