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Finding the Third Proportional to 189,534.30 and 412,277.26

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Solution

The third proportional to 189,534.30 and 412,277.26 is: 896,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,534.30 : 412,277.26 = 412,277.26 : x
  2. Step 2: Convert to fraction form
    189,534.30/412,277.26 = 412,277.26/x
  3. Step 3: Cross multiply
    189,534.30x = 412,277.26 × 412,277.26
  4. Step 4: Simplify right side
    189,534.30x = 169,972,542,945.99
  5. Step 5: Solve for x
    x = 169,972,542,945.99/189,534.30
  6. Step 6: Final answer
    x = 896,790.39

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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.