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Finding the Third Proportional to 175,968 and 283,320

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Solution

The third proportional to 175,968 and 283,320 is: 456,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,968 : 283,320 = 283,320 : x
  2. Step 2: Convert to fraction form
    175,968/283,320 = 283,320/x
  3. Step 3: Cross multiply
    175,968x = 283,320 × 283,320
  4. Step 4: Simplify right side
    175,968x = 80,270,222,400
  5. Step 5: Solve for x
    x = 80,270,222,400/175,968
  6. Step 6: Final answer
    x = 456,163.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.