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Finding the Third Proportional to 186,896.25 and 398,257.88

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Solution

The third proportional to 186,896.25 and 398,257.88 is: 848,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,896.25 : 398,257.88 = 398,257.88 : x
  2. Step 2: Convert to fraction form
    186,896.25/398,257.88 = 398,257.88/x
  3. Step 3: Cross multiply
    186,896.25x = 398,257.88 × 398,257.88
  4. Step 4: Simplify right side
    186,896.25x = 158,609,334,999.52
  5. Step 5: Solve for x
    x = 158,609,334,999.52/186,896.25
  6. Step 6: Final answer
    x = 848,649.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.