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Finding the Third Proportional to 135,125 and 296,194

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Solution

The third proportional to 135,125 and 296,194 is: 649,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,125 : 296,194 = 296,194 : x
  2. Step 2: Convert to fraction form
    135,125/296,194 = 296,194/x
  3. Step 3: Cross multiply
    135,125x = 296,194 × 296,194
  4. Step 4: Simplify right side
    135,125x = 87,730,885,636
  5. Step 5: Solve for x
    x = 87,730,885,636/135,125
  6. Step 6: Final answer
    x = 649,257.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.