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Finding the Third Proportional to 177,052 and 270,740

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Solution

The third proportional to 177,052 and 270,740 is: 414,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,052 : 270,740 = 270,740 : x
  2. Step 2: Convert to fraction form
    177,052/270,740 = 270,740/x
  3. Step 3: Cross multiply
    177,052x = 270,740 × 270,740
  4. Step 4: Simplify right side
    177,052x = 73,300,147,600
  5. Step 5: Solve for x
    x = 73,300,147,600/177,052
  6. Step 6: Final answer
    x = 414,003.50

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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.