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Finding the Third Proportional to 184,624.31 and 397,497.38

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Solution

The third proportional to 184,624.31 and 397,497.38 is: 855,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,624.31 : 397,497.38 = 397,497.38 : x
  2. Step 2: Convert to fraction form
    184,624.31/397,497.38 = 397,497.38/x
  3. Step 3: Cross multiply
    184,624.31x = 397,497.38 × 397,497.38
  4. Step 4: Simplify right side
    184,624.31x = 158,004,163,131.89
  5. Step 5: Solve for x
    x = 158,004,163,131.89/184,624.31
  6. Step 6: Final answer
    x = 855,814.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.