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Finding the Third Proportional to 136,625 and 280,054

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Solution

The third proportional to 136,625 and 280,054 is: 574,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,625 : 280,054 = 280,054 : x
  2. Step 2: Convert to fraction form
    136,625/280,054 = 280,054/x
  3. Step 3: Cross multiply
    136,625x = 280,054 × 280,054
  4. Step 4: Simplify right side
    136,625x = 78,430,242,916
  5. Step 5: Solve for x
    x = 78,430,242,916/136,625
  6. Step 6: Final answer
    x = 574,054.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.