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Finding the Third Proportional to 162,023.50 and 222,497

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Solution

The third proportional to 162,023.50 and 222,497 is: 305,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,023.50 : 222,497 = 222,497 : x
  2. Step 2: Convert to fraction form
    162,023.50/222,497 = 222,497/x
  3. Step 3: Cross multiply
    162,023.50x = 222,497 × 222,497
  4. Step 4: Simplify right side
    162,023.50x = 49,504,915,009
  5. Step 5: Solve for x
    x = 49,504,915,009/162,023.50
  6. Step 6: Final answer
    x = 305,541.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.