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Finding the Third Proportional to 104,094 and 231,480

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Solution

The third proportional to 104,094 and 231,480 is: 514,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,094 : 231,480 = 231,480 : x
  2. Step 2: Convert to fraction form
    104,094/231,480 = 231,480/x
  3. Step 3: Cross multiply
    104,094x = 231,480 × 231,480
  4. Step 4: Simplify right side
    104,094x = 53,582,990,400
  5. Step 5: Solve for x
    x = 53,582,990,400/104,094
  6. Step 6: Final answer
    x = 514,755.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.