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Finding the Third Proportional to 190,638.56 and 410,816.81

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Solution

The third proportional to 190,638.56 and 410,816.81 is: 885,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,638.56 : 410,816.81 = 410,816.81 : x
  2. Step 2: Convert to fraction form
    190,638.56/410,816.81 = 410,816.81/x
  3. Step 3: Cross multiply
    190,638.56x = 410,816.81 × 410,816.81
  4. Step 4: Simplify right side
    190,638.56x = 168,770,453,432.66
  5. Step 5: Solve for x
    x = 168,770,453,432.66/190,638.56
  6. Step 6: Final answer
    x = 885,290.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.