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Finding the Third Proportional to 192,260 and 291,258

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Solution

The third proportional to 192,260 and 291,258 is: 441,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,260 : 291,258 = 291,258 : x
  2. Step 2: Convert to fraction form
    192,260/291,258 = 291,258/x
  3. Step 3: Cross multiply
    192,260x = 291,258 × 291,258
  4. Step 4: Simplify right side
    192,260x = 84,831,222,564
  5. Step 5: Solve for x
    x = 84,831,222,564/192,260
  6. Step 6: Final answer
    x = 441,231.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.