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Finding the Third Proportional to 187,554 and 410,682

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Solution

The third proportional to 187,554 and 410,682 is: 899,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,554 : 410,682 = 410,682 : x
  2. Step 2: Convert to fraction form
    187,554/410,682 = 410,682/x
  3. Step 3: Cross multiply
    187,554x = 410,682 × 410,682
  4. Step 4: Simplify right side
    187,554x = 168,659,705,124
  5. Step 5: Solve for x
    x = 168,659,705,124/187,554
  6. Step 6: Final answer
    x = 899,259.44

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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.