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Finding the Third Proportional to 273,745 and 366,175

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Solution

The third proportional to 273,745 and 366,175 is: 489,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,745 : 366,175 = 366,175 : x
  2. Step 2: Convert to fraction form
    273,745/366,175 = 366,175/x
  3. Step 3: Cross multiply
    273,745x = 366,175 × 366,175
  4. Step 4: Simplify right side
    273,745x = 134,084,130,625
  5. Step 5: Solve for x
    x = 134,084,130,625/273,745
  6. Step 6: Final answer
    x = 489,813.99

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.