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Finding the Third Proportional to 185,824 and 274,360

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Solution

The third proportional to 185,824 and 274,360 is: 405,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,824 : 274,360 = 274,360 : x
  2. Step 2: Convert to fraction form
    185,824/274,360 = 274,360/x
  3. Step 3: Cross multiply
    185,824x = 274,360 × 274,360
  4. Step 4: Simplify right side
    185,824x = 75,273,409,600
  5. Step 5: Solve for x
    x = 75,273,409,600/185,824
  6. Step 6: Final answer
    x = 405,079.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.