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Finding the Third Proportional to 173,824.31 and 222,873.19

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Solution

The third proportional to 173,824.31 and 222,873.19 is: 285,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,824.31 : 222,873.19 = 222,873.19 : x
  2. Step 2: Convert to fraction form
    173,824.31/222,873.19 = 222,873.19/x
  3. Step 3: Cross multiply
    173,824.31x = 222,873.19 × 222,873.19
  4. Step 4: Simplify right side
    173,824.31x = 49,672,457,706.41
  5. Step 5: Solve for x
    x = 49,672,457,706.41/173,824.31
  6. Step 6: Final answer
    x = 285,762.43

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.