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Finding the Third Proportional to 208,344 and 449,136

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Solution

The third proportional to 208,344 and 449,136 is: 968,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,344 : 449,136 = 449,136 : x
  2. Step 2: Convert to fraction form
    208,344/449,136 = 449,136/x
  3. Step 3: Cross multiply
    208,344x = 449,136 × 449,136
  4. Step 4: Simplify right side
    208,344x = 201,723,146,496
  5. Step 5: Solve for x
    x = 201,723,146,496/208,344
  6. Step 6: Final answer
    x = 968,221.53

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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.