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Finding the Third Proportional to 189,946 and 406,244

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Solution

The third proportional to 189,946 and 406,244 is: 868,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,946 : 406,244 = 406,244 : x
  2. Step 2: Convert to fraction form
    189,946/406,244 = 406,244/x
  3. Step 3: Cross multiply
    189,946x = 406,244 × 406,244
  4. Step 4: Simplify right side
    189,946x = 165,034,187,536
  5. Step 5: Solve for x
    x = 165,034,187,536/189,946
  6. Step 6: Final answer
    x = 868,847.92

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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.