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Finding the Third Proportional to 187,382 and 246,018

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Solution

The third proportional to 187,382 and 246,018 is: 323,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,382 : 246,018 = 246,018 : x
  2. Step 2: Convert to fraction form
    187,382/246,018 = 246,018/x
  3. Step 3: Cross multiply
    187,382x = 246,018 × 246,018
  4. Step 4: Simplify right side
    187,382x = 60,524,856,324
  5. Step 5: Solve for x
    x = 60,524,856,324/187,382
  6. Step 6: Final answer
    x = 323,002.51

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.