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Finding the Third Proportional to 190,675.42 and 410,539.21

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Solution

The third proportional to 190,675.42 and 410,539.21 is: 883,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,675.42 : 410,539.21 = 410,539.21 : x
  2. Step 2: Convert to fraction form
    190,675.42/410,539.21 = 410,539.21/x
  3. Step 3: Cross multiply
    190,675.42x = 410,539.21 × 410,539.21
  4. Step 4: Simplify right side
    190,675.42x = 168,542,440,004.79
  5. Step 5: Solve for x
    x = 168,542,440,004.79/190,675.42
  6. Step 6: Final answer
    x = 883,923.26

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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.