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Finding the Third Proportional to 181,993.22 and 387,325.97

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Solution

The third proportional to 181,993.22 and 387,325.97 is: 824,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,993.22 : 387,325.97 = 387,325.97 : x
  2. Step 2: Convert to fraction form
    181,993.22/387,325.97 = 387,325.97/x
  3. Step 3: Cross multiply
    181,993.22x = 387,325.97 × 387,325.97
  4. Step 4: Simplify right side
    181,993.22x = 150,021,406,068.13
  5. Step 5: Solve for x
    x = 150,021,406,068.13/181,993.22
  6. Step 6: Final answer
    x = 824,324.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.