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Finding the Third Proportional to 189,194.25 and 284,586

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Solution

The third proportional to 189,194.25 and 284,586 is: 428,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,194.25 : 284,586 = 284,586 : x
  2. Step 2: Convert to fraction form
    189,194.25/284,586 = 284,586/x
  3. Step 3: Cross multiply
    189,194.25x = 284,586 × 284,586
  4. Step 4: Simplify right side
    189,194.25x = 80,989,191,396
  5. Step 5: Solve for x
    x = 80,989,191,396/189,194.25
  6. Step 6: Final answer
    x = 428,074.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.