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Finding the Third Proportional to 181,771.88 and 388,284.75

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Solution

The third proportional to 181,771.88 and 388,284.75 is: 829,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,771.88 : 388,284.75 = 388,284.75 : x
  2. Step 2: Convert to fraction form
    181,771.88/388,284.75 = 388,284.75/x
  3. Step 3: Cross multiply
    181,771.88x = 388,284.75 × 388,284.75
  4. Step 4: Simplify right side
    181,771.88x = 150,765,047,082.56
  5. Step 5: Solve for x
    x = 150,765,047,082.56/181,771.88
  6. Step 6: Final answer
    x = 829,419.00

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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.