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Finding the Third Proportional to 190,181.63 and 401,583.56

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Solution

The third proportional to 190,181.63 and 401,583.56 is: 847,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,181.63 : 401,583.56 = 401,583.56 : x
  2. Step 2: Convert to fraction form
    190,181.63/401,583.56 = 401,583.56/x
  3. Step 3: Cross multiply
    190,181.63x = 401,583.56 × 401,583.56
  4. Step 4: Simplify right side
    190,181.63x = 161,269,357,670.19
  5. Step 5: Solve for x
    x = 161,269,357,670.19/190,181.63
  6. Step 6: Final answer
    x = 847,975.50

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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.