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Finding the Third Proportional to 193,256 and 415,094

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Solution

The third proportional to 193,256 and 415,094 is: 891,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,256 : 415,094 = 415,094 : x
  2. Step 2: Convert to fraction form
    193,256/415,094 = 415,094/x
  3. Step 3: Cross multiply
    193,256x = 415,094 × 415,094
  4. Step 4: Simplify right side
    193,256x = 172,303,028,836
  5. Step 5: Solve for x
    x = 172,303,028,836/193,256
  6. Step 6: Final answer
    x = 891,579.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.