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Finding the Third Proportional to 187,002 and 400,794.75

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Solution

The third proportional to 187,002 and 400,794.75 is: 859,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,002 : 400,794.75 = 400,794.75 : x
  2. Step 2: Convert to fraction form
    187,002/400,794.75 = 400,794.75/x
  3. Step 3: Cross multiply
    187,002x = 400,794.75 × 400,794.75
  4. Step 4: Simplify right side
    187,002x = 160,636,431,627.56
  5. Step 5: Solve for x
    x = 160,636,431,627.56/187,002
  6. Step 6: Final answer
    x = 859,009.16

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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.