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Finding the Third Proportional to 105,600 and 230,880

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Solution

The third proportional to 105,600 and 230,880 is: 504,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,600 : 230,880 = 230,880 : x
  2. Step 2: Convert to fraction form
    105,600/230,880 = 230,880/x
  3. Step 3: Cross multiply
    105,600x = 230,880 × 230,880
  4. Step 4: Simplify right side
    105,600x = 53,305,574,400
  5. Step 5: Solve for x
    x = 53,305,574,400/105,600
  6. Step 6: Final answer
    x = 504,787.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.