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Finding the Third Proportional to 170,384 and 370,512

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Solution

The third proportional to 170,384 and 370,512 is: 805,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,384 : 370,512 = 370,512 : x
  2. Step 2: Convert to fraction form
    170,384/370,512 = 370,512/x
  3. Step 3: Cross multiply
    170,384x = 370,512 × 370,512
  4. Step 4: Simplify right side
    170,384x = 137,279,142,144
  5. Step 5: Solve for x
    x = 137,279,142,144/170,384
  6. Step 6: Final answer
    x = 805,704.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.