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Finding the Third Proportional to 187,122 and 400,002

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Solution

The third proportional to 187,122 and 400,002 is: 855,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,122 : 400,002 = 400,002 : x
  2. Step 2: Convert to fraction form
    187,122/400,002 = 400,002/x
  3. Step 3: Cross multiply
    187,122x = 400,002 × 400,002
  4. Step 4: Simplify right side
    187,122x = 160,001,600,004
  5. Step 5: Solve for x
    x = 160,001,600,004/187,122
  6. Step 6: Final answer
    x = 855,065.68

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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.