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Finding the Third Proportional to 193,836 and 418,224

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Solution

The third proportional to 193,836 and 418,224 is: 902,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,836 : 418,224 = 418,224 : x
  2. Step 2: Convert to fraction form
    193,836/418,224 = 418,224/x
  3. Step 3: Cross multiply
    193,836x = 418,224 × 418,224
  4. Step 4: Simplify right side
    193,836x = 174,911,314,176
  5. Step 5: Solve for x
    x = 174,911,314,176/193,836
  6. Step 6: Final answer
    x = 902,367.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.