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Finding the Third Proportional to 190,741.50 and 280,266.75

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Solution

The third proportional to 190,741.50 and 280,266.75 is: 411,811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,741.50 : 280,266.75 = 280,266.75 : x
  2. Step 2: Convert to fraction form
    190,741.50/280,266.75 = 280,266.75/x
  3. Step 3: Cross multiply
    190,741.50x = 280,266.75 × 280,266.75
  4. Step 4: Simplify right side
    190,741.50x = 78,549,451,155.56
  5. Step 5: Solve for x
    x = 78,549,451,155.56/190,741.50
  6. Step 6: Final answer
    x = 411,811.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.