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Finding the Third Proportional to 188,888 and 411,006

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Solution

The third proportional to 188,888 and 411,006 is: 894,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,888 : 411,006 = 411,006 : x
  2. Step 2: Convert to fraction form
    188,888/411,006 = 411,006/x
  3. Step 3: Cross multiply
    188,888x = 411,006 × 411,006
  4. Step 4: Simplify right side
    188,888x = 168,925,932,036
  5. Step 5: Solve for x
    x = 168,925,932,036/188,888
  6. Step 6: Final answer
    x = 894,317.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.