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Finding the Third Proportional to 186,896 and 398,258

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Solution

The third proportional to 186,896 and 398,258 is: 848,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,896 : 398,258 = 398,258 : x
  2. Step 2: Convert to fraction form
    186,896/398,258 = 398,258/x
  3. Step 3: Cross multiply
    186,896x = 398,258 × 398,258
  4. Step 4: Simplify right side
    186,896x = 158,609,434,564
  5. Step 5: Solve for x
    x = 158,609,434,564/186,896
  6. Step 6: Final answer
    x = 848,650.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.