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Finding the Third Proportional to 190,185 and 401,593

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Solution

The third proportional to 190,185 and 401,593 is: 848,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,185 : 401,593 = 401,593 : x
  2. Step 2: Convert to fraction form
    190,185/401,593 = 401,593/x
  3. Step 3: Cross multiply
    190,185x = 401,593 × 401,593
  4. Step 4: Simplify right side
    190,185x = 161,276,937,649
  5. Step 5: Solve for x
    x = 161,276,937,649/190,185
  6. Step 6: Final answer
    x = 848,000.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.