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Finding the Third Proportional to 295,168 and 414,186

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Solution

The third proportional to 295,168 and 414,186 is: 581,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,168 : 414,186 = 414,186 : x
  2. Step 2: Convert to fraction form
    295,168/414,186 = 414,186/x
  3. Step 3: Cross multiply
    295,168x = 414,186 × 414,186
  4. Step 4: Simplify right side
    295,168x = 171,550,042,596
  5. Step 5: Solve for x
    x = 171,550,042,596/295,168
  6. Step 6: Final answer
    x = 581,194.58

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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.