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Finding the Third Proportional to 189,735.75 and 284,512.50

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Solution

The third proportional to 189,735.75 and 284,512.50 is: 426,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,735.75 : 284,512.50 = 284,512.50 : x
  2. Step 2: Convert to fraction form
    189,735.75/284,512.50 = 284,512.50/x
  3. Step 3: Cross multiply
    189,735.75x = 284,512.50 × 284,512.50
  4. Step 4: Simplify right side
    189,735.75x = 80,947,362,656.25
  5. Step 5: Solve for x
    x = 80,947,362,656.25/189,735.75
  6. Step 6: Final answer
    x = 426,632.11

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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.