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Finding the Third Proportional to 157,844 and 338,108

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Solution

The third proportional to 157,844 and 338,108 is: 724,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,844 : 338,108 = 338,108 : x
  2. Step 2: Convert to fraction form
    157,844/338,108 = 338,108/x
  3. Step 3: Cross multiply
    157,844x = 338,108 × 338,108
  4. Step 4: Simplify right side
    157,844x = 114,317,019,664
  5. Step 5: Solve for x
    x = 114,317,019,664/157,844
  6. Step 6: Final answer
    x = 724,240.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.