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Finding the Third Proportional to 189,267.88 and 290,918.38

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Solution

The third proportional to 189,267.88 and 290,918.38 is: 447,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,267.88 : 290,918.38 = 290,918.38 : x
  2. Step 2: Convert to fraction form
    189,267.88/290,918.38 = 290,918.38/x
  3. Step 3: Cross multiply
    189,267.88x = 290,918.38 × 290,918.38
  4. Step 4: Simplify right side
    189,267.88x = 84,633,500,912.64
  5. Step 5: Solve for x
    x = 84,633,500,912.64/189,267.88
  6. Step 6: Final answer
    x = 447,162.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.