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Finding the Third Proportional to 231,920 and 504,160

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Solution

The third proportional to 231,920 and 504,160 is: 1,095,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,920 : 504,160 = 504,160 : x
  2. Step 2: Convert to fraction form
    231,920/504,160 = 504,160/x
  3. Step 3: Cross multiply
    231,920x = 504,160 × 504,160
  4. Step 4: Simplify right side
    231,920x = 254,177,305,600
  5. Step 5: Solve for x
    x = 254,177,305,600/231,920
  6. Step 6: Final answer
    x = 1,095,969.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.