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Finding the Third Proportional to 129,858 and 196,194

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Solution

The third proportional to 129,858 and 196,194 is: 296,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,858 : 196,194 = 196,194 : x
  2. Step 2: Convert to fraction form
    129,858/196,194 = 196,194/x
  3. Step 3: Cross multiply
    129,858x = 196,194 × 196,194
  4. Step 4: Simplify right side
    129,858x = 38,492,085,636
  5. Step 5: Solve for x
    x = 38,492,085,636/129,858
  6. Step 6: Final answer
    x = 296,416.74

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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.