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Finding the Third Proportional to 188,007 and 385,184

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Solution

The third proportional to 188,007 and 385,184 is: 789,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,007 : 385,184 = 385,184 : x
  2. Step 2: Convert to fraction form
    188,007/385,184 = 385,184/x
  3. Step 3: Cross multiply
    188,007x = 385,184 × 385,184
  4. Step 4: Simplify right side
    188,007x = 148,366,713,856
  5. Step 5: Solve for x
    x = 148,366,713,856/188,007
  6. Step 6: Final answer
    x = 789,155.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.