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Finding the Third Proportional to 186,903.75 and 398,273.88

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Solution

The third proportional to 186,903.75 and 398,273.88 is: 848,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,903.75 : 398,273.88 = 398,273.88 : x
  2. Step 2: Convert to fraction form
    186,903.75/398,273.88 = 398,273.88/x
  3. Step 3: Cross multiply
    186,903.75x = 398,273.88 × 398,273.88
  4. Step 4: Simplify right side
    186,903.75x = 158,622,079,507.52
  5. Step 5: Solve for x
    x = 158,622,079,507.52/186,903.75
  6. Step 6: Final answer
    x = 848,683.24

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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.