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Finding the Third Proportional to 190,921 and 377,024

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Solution

The third proportional to 190,921 and 377,024 is: 744,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,921 : 377,024 = 377,024 : x
  2. Step 2: Convert to fraction form
    190,921/377,024 = 377,024/x
  3. Step 3: Cross multiply
    190,921x = 377,024 × 377,024
  4. Step 4: Simplify right side
    190,921x = 142,147,096,576
  5. Step 5: Solve for x
    x = 142,147,096,576/190,921
  6. Step 6: Final answer
    x = 744,533.58

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.