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Finding the Third Proportional to 157,600.69 and 225,174.94

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Solution

The third proportional to 157,600.69 and 225,174.94 is: 321,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,600.69 : 225,174.94 = 225,174.94 : x
  2. Step 2: Convert to fraction form
    157,600.69/225,174.94 = 225,174.94/x
  3. Step 3: Cross multiply
    157,600.69x = 225,174.94 × 225,174.94
  4. Step 4: Simplify right side
    157,600.69x = 50,703,752,478.13
  5. Step 5: Solve for x
    x = 50,703,752,478.13/157,600.69
  6. Step 6: Final answer
    x = 321,722.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.