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Finding the Third Proportional to 157,908 and 236,112

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Solution

The third proportional to 157,908 and 236,112 is: 353,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,908 : 236,112 = 236,112 : x
  2. Step 2: Convert to fraction form
    157,908/236,112 = 236,112/x
  3. Step 3: Cross multiply
    157,908x = 236,112 × 236,112
  4. Step 4: Simplify right side
    157,908x = 55,748,876,544
  5. Step 5: Solve for x
    x = 55,748,876,544/157,908
  6. Step 6: Final answer
    x = 353,046.56

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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.