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Finding the Third Proportional to 189,490.50 and 410,850.56

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Solution

The third proportional to 189,490.50 and 410,850.56 is: 890,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,490.50 : 410,850.56 = 410,850.56 : x
  2. Step 2: Convert to fraction form
    189,490.50/410,850.56 = 410,850.56/x
  3. Step 3: Cross multiply
    189,490.50x = 410,850.56 × 410,850.56
  4. Step 4: Simplify right side
    189,490.50x = 168,798,184,706.57
  5. Step 5: Solve for x
    x = 168,798,184,706.57/189,490.50
  6. Step 6: Final answer
    x = 890,800.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.