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Finding the Third Proportional to 208,096 and 449,024

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Solution

The third proportional to 208,096 and 449,024 is: 968,892.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,096 : 449,024 = 449,024 : x
  2. Step 2: Convert to fraction form
    208,096/449,024 = 449,024/x
  3. Step 3: Cross multiply
    208,096x = 449,024 × 449,024
  4. Step 4: Simplify right side
    208,096x = 201,622,552,576
  5. Step 5: Solve for x
    x = 201,622,552,576/208,096
  6. Step 6: Final answer
    x = 968,892.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.