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Finding the Third Proportional to 203,206 and 445,670

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Solution

The third proportional to 203,206 and 445,670 is: 977,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,206 : 445,670 = 445,670 : x
  2. Step 2: Convert to fraction form
    203,206/445,670 = 445,670/x
  3. Step 3: Cross multiply
    203,206x = 445,670 × 445,670
  4. Step 4: Simplify right side
    203,206x = 198,621,748,900
  5. Step 5: Solve for x
    x = 198,621,748,900/203,206
  6. Step 6: Final answer
    x = 977,440.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.