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Finding the Third Proportional to 187,124 and 400,006

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Solution

The third proportional to 187,124 and 400,006 is: 855,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,124 : 400,006 = 400,006 : x
  2. Step 2: Convert to fraction form
    187,124/400,006 = 400,006/x
  3. Step 3: Cross multiply
    187,124x = 400,006 × 400,006
  4. Step 4: Simplify right side
    187,124x = 160,004,800,036
  5. Step 5: Solve for x
    x = 160,004,800,036/187,124
  6. Step 6: Final answer
    x = 855,073.64

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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.