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Finding the Third Proportional to 192,830.63 and 414,365.63

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Solution

The third proportional to 192,830.63 and 414,365.63 is: 890,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,830.63 : 414,365.63 = 414,365.63 : x
  2. Step 2: Convert to fraction form
    192,830.63/414,365.63 = 414,365.63/x
  3. Step 3: Cross multiply
    192,830.63x = 414,365.63 × 414,365.63
  4. Step 4: Simplify right side
    192,830.63x = 171,698,871,181.64
  5. Step 5: Solve for x
    x = 171,698,871,181.64/192,830.63
  6. Step 6: Final answer
    x = 890,412.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.