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Finding the Third Proportional to 189,623 and 406,234

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Solution

The third proportional to 189,623 and 406,234 is: 870,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,623 : 406,234 = 406,234 : x
  2. Step 2: Convert to fraction form
    189,623/406,234 = 406,234/x
  3. Step 3: Cross multiply
    189,623x = 406,234 × 406,234
  4. Step 4: Simplify right side
    189,623x = 165,026,062,756
  5. Step 5: Solve for x
    x = 165,026,062,756/189,623
  6. Step 6: Final answer
    x = 870,285.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.