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Finding the Third Proportional to 79,283.25 and 171,310.50

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Solution

The third proportional to 79,283.25 and 171,310.50 is: 370,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,283.25 : 171,310.50 = 171,310.50 : x
  2. Step 2: Convert to fraction form
    79,283.25/171,310.50 = 171,310.50/x
  3. Step 3: Cross multiply
    79,283.25x = 171,310.50 × 171,310.50
  4. Step 4: Simplify right side
    79,283.25x = 29,347,287,410.25
  5. Step 5: Solve for x
    x = 29,347,287,410.25/79,283.25
  6. Step 6: Final answer
    x = 370,157.47

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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.