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Finding the Third Proportional to 135,954 and 295,258

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Solution

The third proportional to 135,954 and 295,258 is: 641,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,954 : 295,258 = 295,258 : x
  2. Step 2: Convert to fraction form
    135,954/295,258 = 295,258/x
  3. Step 3: Cross multiply
    135,954x = 295,258 × 295,258
  4. Step 4: Simplify right side
    135,954x = 87,177,286,564
  5. Step 5: Solve for x
    x = 87,177,286,564/135,954
  6. Step 6: Final answer
    x = 641,226.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.