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Finding the Third Proportional to 190,941.75 and 411,468.75

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Solution

The third proportional to 190,941.75 and 411,468.75 is: 886,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,941.75 : 411,468.75 = 411,468.75 : x
  2. Step 2: Convert to fraction form
    190,941.75/411,468.75 = 411,468.75/x
  3. Step 3: Cross multiply
    190,941.75x = 411,468.75 × 411,468.75
  4. Step 4: Simplify right side
    190,941.75x = 169,306,532,226.56
  5. Step 5: Solve for x
    x = 169,306,532,226.56/190,941.75
  6. Step 6: Final answer
    x = 886,692.05

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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.