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Finding the Third Proportional to 133,855 and 248,558

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Solution

The third proportional to 133,855 and 248,558 is: 461,552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,855 : 248,558 = 248,558 : x
  2. Step 2: Convert to fraction form
    133,855/248,558 = 248,558/x
  3. Step 3: Cross multiply
    133,855x = 248,558 × 248,558
  4. Step 4: Simplify right side
    133,855x = 61,781,079,364
  5. Step 5: Solve for x
    x = 61,781,079,364/133,855
  6. Step 6: Final answer
    x = 461,552.27

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.