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Finding the Third Proportional to 190,562 and 416,668

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Solution

The third proportional to 190,562 and 416,668 is: 911,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,562 : 416,668 = 416,668 : x
  2. Step 2: Convert to fraction form
    190,562/416,668 = 416,668/x
  3. Step 3: Cross multiply
    190,562x = 416,668 × 416,668
  4. Step 4: Simplify right side
    190,562x = 173,612,222,224
  5. Step 5: Solve for x
    x = 173,612,222,224/190,562
  6. Step 6: Final answer
    x = 911,053.74

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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.