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Finding the Third Proportional to 179,719.69 and 384,684.75

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Solution

The third proportional to 179,719.69 and 384,684.75 is: 823,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,719.69 : 384,684.75 = 384,684.75 : x
  2. Step 2: Convert to fraction form
    179,719.69/384,684.75 = 384,684.75/x
  3. Step 3: Cross multiply
    179,719.69x = 384,684.75 × 384,684.75
  4. Step 4: Simplify right side
    179,719.69x = 147,982,356,882.56
  5. Step 5: Solve for x
    x = 147,982,356,882.56/179,719.69
  6. Step 6: Final answer
    x = 823,406.49

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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.