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Finding the Third Proportional to 177,007.50 and 270,765

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Solution

The third proportional to 177,007.50 and 270,765 is: 414,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,007.50 : 270,765 = 270,765 : x
  2. Step 2: Convert to fraction form
    177,007.50/270,765 = 270,765/x
  3. Step 3: Cross multiply
    177,007.50x = 270,765 × 270,765
  4. Step 4: Simplify right side
    177,007.50x = 73,313,685,225
  5. Step 5: Solve for x
    x = 73,313,685,225/177,007.50
  6. Step 6: Final answer
    x = 414,184.06

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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.