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Finding the Third Proportional to 194,768 and 294,258

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Solution

The third proportional to 194,768 and 294,258 is: 444,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,768 : 294,258 = 294,258 : x
  2. Step 2: Convert to fraction form
    194,768/294,258 = 294,258/x
  3. Step 3: Cross multiply
    194,768x = 294,258 × 294,258
  4. Step 4: Simplify right side
    194,768x = 86,587,770,564
  5. Step 5: Solve for x
    x = 86,587,770,564/194,768
  6. Step 6: Final answer
    x = 444,568.77

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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.