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Finding the Third Proportional to 157,194.42 and 339,288.75

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Solution

The third proportional to 157,194.42 and 339,288.75 is: 732,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,194.42 : 339,288.75 = 339,288.75 : x
  2. Step 2: Convert to fraction form
    157,194.42/339,288.75 = 339,288.75/x
  3. Step 3: Cross multiply
    157,194.42x = 339,288.75 × 339,288.75
  4. Step 4: Simplify right side
    157,194.42x = 115,116,855,876.56
  5. Step 5: Solve for x
    x = 115,116,855,876.56/157,194.42
  6. Step 6: Final answer
    x = 732,321.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.