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Finding the Third Proportional to 163,660.50 and 222,161.25

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Solution

The third proportional to 163,660.50 and 222,161.25 is: 301,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,660.50 : 222,161.25 = 222,161.25 : x
  2. Step 2: Convert to fraction form
    163,660.50/222,161.25 = 222,161.25/x
  3. Step 3: Cross multiply
    163,660.50x = 222,161.25 × 222,161.25
  4. Step 4: Simplify right side
    163,660.50x = 49,355,621,001.56
  5. Step 5: Solve for x
    x = 49,355,621,001.56/163,660.50
  6. Step 6: Final answer
    x = 301,573.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.