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Finding the Third Proportional to 190,982 and 416,200

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Solution

The third proportional to 190,982 and 416,200 is: 907,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,982 : 416,200 = 416,200 : x
  2. Step 2: Convert to fraction form
    190,982/416,200 = 416,200/x
  3. Step 3: Cross multiply
    190,982x = 416,200 × 416,200
  4. Step 4: Simplify right side
    190,982x = 173,222,440,000
  5. Step 5: Solve for x
    x = 173,222,440,000/190,982
  6. Step 6: Final answer
    x = 907,009.25

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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.