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Finding the Third Proportional to 193,906 and 297,947

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Solution

The third proportional to 193,906 and 297,947 is: 457,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,906 : 297,947 = 297,947 : x
  2. Step 2: Convert to fraction form
    193,906/297,947 = 297,947/x
  3. Step 3: Cross multiply
    193,906x = 297,947 × 297,947
  4. Step 4: Simplify right side
    193,906x = 88,772,414,809
  5. Step 5: Solve for x
    x = 88,772,414,809/193,906
  6. Step 6: Final answer
    x = 457,811.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.