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Finding the Third Proportional to 188,844.75 and 407,850.19

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Solution

The third proportional to 188,844.75 and 407,850.19 is: 880,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,844.75 : 407,850.19 = 407,850.19 : x
  2. Step 2: Convert to fraction form
    188,844.75/407,850.19 = 407,850.19/x
  3. Step 3: Cross multiply
    188,844.75x = 407,850.19 × 407,850.19
  4. Step 4: Simplify right side
    188,844.75x = 166,341,775,443.79
  5. Step 5: Solve for x
    x = 166,341,775,443.79/188,844.75
  6. Step 6: Final answer
    x = 880,838.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.