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Finding the Third Proportional to 187,006 and 405,356

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Solution

The third proportional to 187,006 and 405,356 is: 878,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,006 : 405,356 = 405,356 : x
  2. Step 2: Convert to fraction form
    187,006/405,356 = 405,356/x
  3. Step 3: Cross multiply
    187,006x = 405,356 × 405,356
  4. Step 4: Simplify right side
    187,006x = 164,313,486,736
  5. Step 5: Solve for x
    x = 164,313,486,736/187,006
  6. Step 6: Final answer
    x = 878,653.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.