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Finding the Third Proportional to 181,774.13 and 388,291.22

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Solution

The third proportional to 181,774.13 and 388,291.22 is: 829,436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,774.13 : 388,291.22 = 388,291.22 : x
  2. Step 2: Convert to fraction form
    181,774.13/388,291.22 = 388,291.22/x
  3. Step 3: Cross multiply
    181,774.13x = 388,291.22 × 388,291.22
  4. Step 4: Simplify right side
    181,774.13x = 150,770,070,558.36
  5. Step 5: Solve for x
    x = 150,770,070,558.36/181,774.13
  6. Step 6: Final answer
    x = 829,436.37

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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.