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Finding the Third Proportional to 167,360 and 256,384

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Solution

The third proportional to 167,360 and 256,384 is: 392,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,360 : 256,384 = 256,384 : x
  2. Step 2: Convert to fraction form
    167,360/256,384 = 256,384/x
  3. Step 3: Cross multiply
    167,360x = 256,384 × 256,384
  4. Step 4: Simplify right side
    167,360x = 65,732,755,456
  5. Step 5: Solve for x
    x = 65,732,755,456/167,360
  6. Step 6: Final answer
    x = 392,762.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.