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Finding the Third Proportional to 194,640 and 255,576

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Solution

The third proportional to 194,640 and 255,576 is: 335,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,640 : 255,576 = 255,576 : x
  2. Step 2: Convert to fraction form
    194,640/255,576 = 255,576/x
  3. Step 3: Cross multiply
    194,640x = 255,576 × 255,576
  4. Step 4: Simplify right side
    194,640x = 65,319,091,776
  5. Step 5: Solve for x
    x = 65,319,091,776/194,640
  6. Step 6: Final answer
    x = 335,589.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.