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Finding the Third Proportional to 197,018.44 and 312,021.56

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Solution

The third proportional to 197,018.44 and 312,021.56 is: 494,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,018.44 : 312,021.56 = 312,021.56 : x
  2. Step 2: Convert to fraction form
    197,018.44/312,021.56 = 312,021.56/x
  3. Step 3: Cross multiply
    197,018.44x = 312,021.56 × 312,021.56
  4. Step 4: Simplify right side
    197,018.44x = 97,357,455,464.94
  5. Step 5: Solve for x
    x = 97,357,455,464.94/197,018.44
  6. Step 6: Final answer
    x = 494,154.03

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.