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Finding the Third Proportional to 190,566 and 416,676

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Solution

The third proportional to 190,566 and 416,676 is: 911,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,566 : 416,676 = 416,676 : x
  2. Step 2: Convert to fraction form
    190,566/416,676 = 416,676/x
  3. Step 3: Cross multiply
    190,566x = 416,676 × 416,676
  4. Step 4: Simplify right side
    190,566x = 173,618,888,976
  5. Step 5: Solve for x
    x = 173,618,888,976/190,566
  6. Step 6: Final answer
    x = 911,069.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.