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Finding the Third Proportional to 177,045 and 270,954

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Solution

The third proportional to 177,045 and 270,954 is: 414,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,045 : 270,954 = 270,954 : x
  2. Step 2: Convert to fraction form
    177,045/270,954 = 270,954/x
  3. Step 3: Cross multiply
    177,045x = 270,954 × 270,954
  4. Step 4: Simplify right side
    177,045x = 73,416,070,116
  5. Step 5: Solve for x
    x = 73,416,070,116/177,045
  6. Step 6: Final answer
    x = 414,674.63

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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.