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Finding the Third Proportional to 160,288 and 230,880

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Solution

The third proportional to 160,288 and 230,880 is: 332,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,288 : 230,880 = 230,880 : x
  2. Step 2: Convert to fraction form
    160,288/230,880 = 230,880/x
  3. Step 3: Cross multiply
    160,288x = 230,880 × 230,880
  4. Step 4: Simplify right side
    160,288x = 53,305,574,400
  5. Step 5: Solve for x
    x = 53,305,574,400/160,288
  6. Step 6: Final answer
    x = 332,561.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.