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Finding the Third Proportional to 176,370.75 and 380,619

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Solution

The third proportional to 176,370.75 and 380,619 is: 821,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,370.75 : 380,619 = 380,619 : x
  2. Step 2: Convert to fraction form
    176,370.75/380,619 = 380,619/x
  3. Step 3: Cross multiply
    176,370.75x = 380,619 × 380,619
  4. Step 4: Simplify right side
    176,370.75x = 144,870,823,161
  5. Step 5: Solve for x
    x = 144,870,823,161/176,370.75
  6. Step 6: Final answer
    x = 821,399.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.