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Finding the Third Proportional to 129,380 and 196,258

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Solution

The third proportional to 129,380 and 196,258 is: 297,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,380 : 196,258 = 196,258 : x
  2. Step 2: Convert to fraction form
    129,380/196,258 = 196,258/x
  3. Step 3: Cross multiply
    129,380x = 196,258 × 196,258
  4. Step 4: Simplify right side
    129,380x = 38,517,202,564
  5. Step 5: Solve for x
    x = 38,517,202,564/129,380
  6. Step 6: Final answer
    x = 297,706.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.