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Finding the Third Proportional to 187,982 and 410,263

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Solution

The third proportional to 187,982 and 410,263 is: 895,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,982 : 410,263 = 410,263 : x
  2. Step 2: Convert to fraction form
    187,982/410,263 = 410,263/x
  3. Step 3: Cross multiply
    187,982x = 410,263 × 410,263
  4. Step 4: Simplify right side
    187,982x = 168,315,729,169
  5. Step 5: Solve for x
    x = 168,315,729,169/187,982
  6. Step 6: Final answer
    x = 895,382.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.