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Finding the Third Proportional to 250,356 and 543,183

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Solution

The third proportional to 250,356 and 543,183 is: 1,178,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,356 : 543,183 = 543,183 : x
  2. Step 2: Convert to fraction form
    250,356/543,183 = 543,183/x
  3. Step 3: Cross multiply
    250,356x = 543,183 × 543,183
  4. Step 4: Simplify right side
    250,356x = 295,047,771,489
  5. Step 5: Solve for x
    x = 295,047,771,489/250,356
  6. Step 6: Final answer
    x = 1,178,512.88

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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.