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Finding the Third Proportional to 187,606 and 410,244

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Solution

The third proportional to 187,606 and 410,244 is: 897,093.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,606 : 410,244 = 410,244 : x
  2. Step 2: Convert to fraction form
    187,606/410,244 = 410,244/x
  3. Step 3: Cross multiply
    187,606x = 410,244 × 410,244
  4. Step 4: Simplify right side
    187,606x = 168,300,139,536
  5. Step 5: Solve for x
    x = 168,300,139,536/187,606
  6. Step 6: Final answer
    x = 897,093.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.