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Finding the Third Proportional to 190,976 and 416,944

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Solution

The third proportional to 190,976 and 416,944 is: 910,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,976 : 416,944 = 416,944 : x
  2. Step 2: Convert to fraction form
    190,976/416,944 = 416,944/x
  3. Step 3: Cross multiply
    190,976x = 416,944 × 416,944
  4. Step 4: Simplify right side
    190,976x = 173,842,299,136
  5. Step 5: Solve for x
    x = 173,842,299,136/190,976
  6. Step 6: Final answer
    x = 910,283.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.