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Finding the Third Proportional to 177,668 and 270,140

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Solution

The third proportional to 177,668 and 270,140 is: 410,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,668 : 270,140 = 270,140 : x
  2. Step 2: Convert to fraction form
    177,668/270,140 = 270,140/x
  3. Step 3: Cross multiply
    177,668x = 270,140 × 270,140
  4. Step 4: Simplify right side
    177,668x = 72,975,619,600
  5. Step 5: Solve for x
    x = 72,975,619,600/177,668
  6. Step 6: Final answer
    x = 410,741.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.