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Finding the Third Proportional to 190,068 and 410,268

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Solution

The third proportional to 190,068 and 410,268 is: 885,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,068 : 410,268 = 410,268 : x
  2. Step 2: Convert to fraction form
    190,068/410,268 = 410,268/x
  3. Step 3: Cross multiply
    190,068x = 410,268 × 410,268
  4. Step 4: Simplify right side
    190,068x = 168,319,831,824
  5. Step 5: Solve for x
    x = 168,319,831,824/190,068
  6. Step 6: Final answer
    x = 885,576.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.