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Finding the Third Proportional to 170,456 and 255,576

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Solution

The third proportional to 170,456 and 255,576 is: 383,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,456 : 255,576 = 255,576 : x
  2. Step 2: Convert to fraction form
    170,456/255,576 = 255,576/x
  3. Step 3: Cross multiply
    170,456x = 255,576 × 255,576
  4. Step 4: Simplify right side
    170,456x = 65,319,091,776
  5. Step 5: Solve for x
    x = 65,319,091,776/170,456
  6. Step 6: Final answer
    x = 383,202.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.