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Finding the Third Proportional to 190,975.50 and 414,793.50

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Solution

The third proportional to 190,975.50 and 414,793.50 is: 900,920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,975.50 : 414,793.50 = 414,793.50 : x
  2. Step 2: Convert to fraction form
    190,975.50/414,793.50 = 414,793.50/x
  3. Step 3: Cross multiply
    190,975.50x = 414,793.50 × 414,793.50
  4. Step 4: Simplify right side
    190,975.50x = 172,053,647,642.25
  5. Step 5: Solve for x
    x = 172,053,647,642.25/190,975.50
  6. Step 6: Final answer
    x = 900,920.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.