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Finding the Third Proportional to 190,181.81 and 401,583.94

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Solution

The third proportional to 190,181.81 and 401,583.94 is: 847,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,181.81 : 401,583.94 = 401,583.94 : x
  2. Step 2: Convert to fraction form
    190,181.81/401,583.94 = 401,583.94/x
  3. Step 3: Cross multiply
    190,181.81x = 401,583.94 × 401,583.94
  4. Step 4: Simplify right side
    190,181.81x = 161,269,658,858.00
  5. Step 5: Solve for x
    x = 161,269,658,858.00/190,181.81
  6. Step 6: Final answer
    x = 847,976.24

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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.