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Finding the Third Proportional to 199,183 and 430,078

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Solution

The third proportional to 199,183 and 430,078 is: 928,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,183 : 430,078 = 430,078 : x
  2. Step 2: Convert to fraction form
    199,183/430,078 = 430,078/x
  3. Step 3: Cross multiply
    199,183x = 430,078 × 430,078
  4. Step 4: Simplify right side
    199,183x = 184,967,086,084
  5. Step 5: Solve for x
    x = 184,967,086,084/199,183
  6. Step 6: Final answer
    x = 928,628.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.