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Finding the Third Proportional to 137,652 and 208,383

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Solution

The third proportional to 137,652 and 208,383 is: 315,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,652 : 208,383 = 208,383 : x
  2. Step 2: Convert to fraction form
    137,652/208,383 = 208,383/x
  3. Step 3: Cross multiply
    137,652x = 208,383 × 208,383
  4. Step 4: Simplify right side
    137,652x = 43,423,474,689
  5. Step 5: Solve for x
    x = 43,423,474,689/137,652
  6. Step 6: Final answer
    x = 315,458.36

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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.