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Finding the Third Proportional to 138,304 and 208,728

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Solution

The third proportional to 138,304 and 208,728 is: 315,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,304 : 208,728 = 208,728 : x
  2. Step 2: Convert to fraction form
    138,304/208,728 = 208,728/x
  3. Step 3: Cross multiply
    138,304x = 208,728 × 208,728
  4. Step 4: Simplify right side
    138,304x = 43,567,377,984
  5. Step 5: Solve for x
    x = 43,567,377,984/138,304
  6. Step 6: Final answer
    x = 315,011.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.