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Finding the Third Proportional to 208,002 and 308,944

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Solution

The third proportional to 208,002 and 308,944 is: 458,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,002 : 308,944 = 308,944 : x
  2. Step 2: Convert to fraction form
    208,002/308,944 = 308,944/x
  3. Step 3: Cross multiply
    208,002x = 308,944 × 308,944
  4. Step 4: Simplify right side
    208,002x = 95,446,395,136
  5. Step 5: Solve for x
    x = 95,446,395,136/208,002
  6. Step 6: Final answer
    x = 458,872.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.