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Finding the Third Proportional to 181,423.13 and 397,369.13

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Solution

The third proportional to 181,423.13 and 397,369.13 is: 870,353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,423.13 : 397,369.13 = 397,369.13 : x
  2. Step 2: Convert to fraction form
    181,423.13/397,369.13 = 397,369.13/x
  3. Step 3: Cross multiply
    181,423.13x = 397,369.13 × 397,369.13
  4. Step 4: Simplify right side
    181,423.13x = 157,902,221,503.27
  5. Step 5: Solve for x
    x = 157,902,221,503.27/181,423.13
  6. Step 6: Final answer
    x = 870,353.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.