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Finding the Third Proportional to 192,261.94 and 414,106.31

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Solution

The third proportional to 192,261.94 and 414,106.31 is: 891,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,261.94 : 414,106.31 = 414,106.31 : x
  2. Step 2: Convert to fraction form
    192,261.94/414,106.31 = 414,106.31/x
  3. Step 3: Cross multiply
    192,261.94x = 414,106.31 × 414,106.31
  4. Step 4: Simplify right side
    192,261.94x = 171,484,038,052.35
  5. Step 5: Solve for x
    x = 171,484,038,052.35/192,261.94
  6. Step 6: Final answer
    x = 891,929.21

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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.