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Finding the Third Proportional to 188,004 and 407,166

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Solution

The third proportional to 188,004 and 407,166 is: 881,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,004 : 407,166 = 407,166 : x
  2. Step 2: Convert to fraction form
    188,004/407,166 = 407,166/x
  3. Step 3: Cross multiply
    188,004x = 407,166 × 407,166
  4. Step 4: Simplify right side
    188,004x = 165,784,151,556
  5. Step 5: Solve for x
    x = 165,784,151,556/188,004
  6. Step 6: Final answer
    x = 881,811.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.