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Finding the Third Proportional to 185,452 and 405,896

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Solution

The third proportional to 185,452 and 405,896 is: 888,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,452 : 405,896 = 405,896 : x
  2. Step 2: Convert to fraction form
    185,452/405,896 = 405,896/x
  3. Step 3: Cross multiply
    185,452x = 405,896 × 405,896
  4. Step 4: Simplify right side
    185,452x = 164,751,562,816
  5. Step 5: Solve for x
    x = 164,751,562,816/185,452
  6. Step 6: Final answer
    x = 888,378.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.