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Finding the Third Proportional to 170,360 and 370,456

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Solution

The third proportional to 170,360 and 370,456 is: 805,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,360 : 370,456 = 370,456 : x
  2. Step 2: Convert to fraction form
    170,360/370,456 = 370,456/x
  3. Step 3: Cross multiply
    170,360x = 370,456 × 370,456
  4. Step 4: Simplify right side
    170,360x = 137,237,647,936
  5. Step 5: Solve for x
    x = 137,237,647,936/170,360
  6. Step 6: Final answer
    x = 805,574.36

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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.