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Finding the Third Proportional to 157,944 and 342,132

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Solution

The third proportional to 157,944 and 342,132 is: 741,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,944 : 342,132 = 342,132 : x
  2. Step 2: Convert to fraction form
    157,944/342,132 = 342,132/x
  3. Step 3: Cross multiply
    157,944x = 342,132 × 342,132
  4. Step 4: Simplify right side
    157,944x = 117,054,305,424
  5. Step 5: Solve for x
    x = 117,054,305,424/157,944
  6. Step 6: Final answer
    x = 741,112.71

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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.