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Finding the Third Proportional to 295,194 and 414,225

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Solution

The third proportional to 295,194 and 414,225 is: 581,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,194 : 414,225 = 414,225 : x
  2. Step 2: Convert to fraction form
    295,194/414,225 = 414,225/x
  3. Step 3: Cross multiply
    295,194x = 414,225 × 414,225
  4. Step 4: Simplify right side
    295,194x = 171,582,350,625
  5. Step 5: Solve for x
    x = 171,582,350,625/295,194
  6. Step 6: Final answer
    x = 581,252.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.