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Finding the Third Proportional to 190,517.25 and 426,142.50

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Solution

The third proportional to 190,517.25 and 426,142.50 is: 953,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,517.25 : 426,142.50 = 426,142.50 : x
  2. Step 2: Convert to fraction form
    190,517.25/426,142.50 = 426,142.50/x
  3. Step 3: Cross multiply
    190,517.25x = 426,142.50 × 426,142.50
  4. Step 4: Simplify right side
    190,517.25x = 181,597,430,306.25
  5. Step 5: Solve for x
    x = 181,597,430,306.25/190,517.25
  6. Step 6: Final answer
    x = 953,181.04

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.