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Finding the Third Proportional to 193,495 and 298,869

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Solution

The third proportional to 193,495 and 298,869 is: 461,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,495 : 298,869 = 298,869 : x
  2. Step 2: Convert to fraction form
    193,495/298,869 = 298,869/x
  3. Step 3: Cross multiply
    193,495x = 298,869 × 298,869
  4. Step 4: Simplify right side
    193,495x = 89,322,679,161
  5. Step 5: Solve for x
    x = 89,322,679,161/193,495
  6. Step 6: Final answer
    x = 461,627.84

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Why These Related Problems?

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