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Finding the Third Proportional to 190,295 and 414,493

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Solution

The third proportional to 190,295 and 414,493 is: 902,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,295 : 414,493 = 414,493 : x
  2. Step 2: Convert to fraction form
    190,295/414,493 = 414,493/x
  3. Step 3: Cross multiply
    190,295x = 414,493 × 414,493
  4. Step 4: Simplify right side
    190,295x = 171,804,447,049
  5. Step 5: Solve for x
    x = 171,804,447,049/190,295
  6. Step 6: Final answer
    x = 902,832.17

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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.