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Finding the Third Proportional to 190,276.50 and 414,451.50

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Solution

The third proportional to 190,276.50 and 414,451.50 is: 902,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,276.50 : 414,451.50 = 414,451.50 : x
  2. Step 2: Convert to fraction form
    190,276.50/414,451.50 = 414,451.50/x
  3. Step 3: Cross multiply
    190,276.50x = 414,451.50 × 414,451.50
  4. Step 4: Simplify right side
    190,276.50x = 171,770,045,852.25
  5. Step 5: Solve for x
    x = 171,770,045,852.25/190,276.50
  6. Step 6: Final answer
    x = 902,739.15

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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.