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Finding the Third Proportional to 190,388.25 and 414,938.25

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Solution

The third proportional to 190,388.25 and 414,938.25 is: 904,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,388.25 : 414,938.25 = 414,938.25 : x
  2. Step 2: Convert to fraction form
    190,388.25/414,938.25 = 414,938.25/x
  3. Step 3: Cross multiply
    190,388.25x = 414,938.25 × 414,938.25
  4. Step 4: Simplify right side
    190,388.25x = 172,173,751,313.06
  5. Step 5: Solve for x
    x = 172,173,751,313.06/190,388.25
  6. Step 6: Final answer
    x = 904,329.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.