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Finding the Third Proportional to 180,968 and 394,060

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Solution

The third proportional to 180,968 and 394,060 is: 858,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,968 : 394,060 = 394,060 : x
  2. Step 2: Convert to fraction form
    180,968/394,060 = 394,060/x
  3. Step 3: Cross multiply
    180,968x = 394,060 × 394,060
  4. Step 4: Simplify right side
    180,968x = 155,283,283,600
  5. Step 5: Solve for x
    x = 155,283,283,600/180,968
  6. Step 6: Final answer
    x = 858,070.40

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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.