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Finding the Third Proportional to 130,928 and 200,194

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Solution

The third proportional to 130,928 and 200,194 is: 306,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,928 : 200,194 = 200,194 : x
  2. Step 2: Convert to fraction form
    130,928/200,194 = 200,194/x
  3. Step 3: Cross multiply
    130,928x = 200,194 × 200,194
  4. Step 4: Simplify right side
    130,928x = 40,077,637,636
  5. Step 5: Solve for x
    x = 40,077,637,636/130,928
  6. Step 6: Final answer
    x = 306,104.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.