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Finding the Third Proportional to 174,370.54 and 269,334.18

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Solution

The third proportional to 174,370.54 and 269,334.18 is: 416,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,370.54 : 269,334.18 = 269,334.18 : x
  2. Step 2: Convert to fraction form
    174,370.54/269,334.18 = 269,334.18/x
  3. Step 3: Cross multiply
    174,370.54x = 269,334.18 × 269,334.18
  4. Step 4: Simplify right side
    174,370.54x = 72,540,898,243.77
  5. Step 5: Solve for x
    x = 72,540,898,243.77/174,370.54
  6. Step 6: Final answer
    x = 416,015.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.