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Finding the Third Proportional to 188,957 and 414,774

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Solution

The third proportional to 188,957 and 414,774 is: 910,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,957 : 414,774 = 414,774 : x
  2. Step 2: Convert to fraction form
    188,957/414,774 = 414,774/x
  3. Step 3: Cross multiply
    188,957x = 414,774 × 414,774
  4. Step 4: Simplify right side
    188,957x = 172,037,471,076
  5. Step 5: Solve for x
    x = 172,037,471,076/188,957
  6. Step 6: Final answer
    x = 910,458.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.