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Finding the Third Proportional to 170,874 and 395,576

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Solution

The third proportional to 170,874 and 395,576 is: 915,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,874 : 395,576 = 395,576 : x
  2. Step 2: Convert to fraction form
    170,874/395,576 = 395,576/x
  3. Step 3: Cross multiply
    170,874x = 395,576 × 395,576
  4. Step 4: Simplify right side
    170,874x = 156,480,371,776
  5. Step 5: Solve for x
    x = 156,480,371,776/170,874
  6. Step 6: Final answer
    x = 915,764.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.