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Finding the Third Proportional to 189,833 and 401,010.75

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Solution

The third proportional to 189,833 and 401,010.75 is: 847,111.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,833 : 401,010.75 = 401,010.75 : x
  2. Step 2: Convert to fraction form
    189,833/401,010.75 = 401,010.75/x
  3. Step 3: Cross multiply
    189,833x = 401,010.75 × 401,010.75
  4. Step 4: Simplify right side
    189,833x = 160,809,621,615.56
  5. Step 5: Solve for x
    x = 160,809,621,615.56/189,833
  6. Step 6: Final answer
    x = 847,111.00

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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.