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Finding the Third Proportional to 208,022 and 449,190

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Solution

The third proportional to 208,022 and 449,190 is: 969,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,022 : 449,190 = 449,190 : x
  2. Step 2: Convert to fraction form
    208,022/449,190 = 449,190/x
  3. Step 3: Cross multiply
    208,022x = 449,190 × 449,190
  4. Step 4: Simplify right side
    208,022x = 201,771,656,100
  5. Step 5: Solve for x
    x = 201,771,656,100/208,022
  6. Step 6: Final answer
    x = 969,953.45

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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.