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Finding the Third Proportional to 187,609 and 410,251

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Solution

The third proportional to 187,609 and 410,251 is: 897,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,609 : 410,251 = 410,251 : x
  2. Step 2: Convert to fraction form
    187,609/410,251 = 410,251/x
  3. Step 3: Cross multiply
    187,609x = 410,251 × 410,251
  4. Step 4: Simplify right side
    187,609x = 168,305,883,001
  5. Step 5: Solve for x
    x = 168,305,883,001/187,609
  6. Step 6: Final answer
    x = 897,109.86

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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.