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Finding the Third Proportional to 200,673 and 293,811

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Solution

The third proportional to 200,673 and 293,811 is: 430,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,673 : 293,811 = 293,811 : x
  2. Step 2: Convert to fraction form
    200,673/293,811 = 293,811/x
  3. Step 3: Cross multiply
    200,673x = 293,811 × 293,811
  4. Step 4: Simplify right side
    200,673x = 86,324,903,721
  5. Step 5: Solve for x
    x = 86,324,903,721/200,673
  6. Step 6: Final answer
    x = 430,176.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.