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Finding the Third Proportional to 187,038 and 400,662

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Solution

The third proportional to 187,038 and 400,662 is: 858,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,038 : 400,662 = 400,662 : x
  2. Step 2: Convert to fraction form
    187,038/400,662 = 400,662/x
  3. Step 3: Cross multiply
    187,038x = 400,662 × 400,662
  4. Step 4: Simplify right side
    187,038x = 160,530,038,244
  5. Step 5: Solve for x
    x = 160,530,038,244/187,038
  6. Step 6: Final answer
    x = 858,274.99

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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.