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Finding the Third Proportional to 79,296 and 170,970.75

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Solution

The third proportional to 79,296 and 170,970.75 is: 368,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,296 : 170,970.75 = 170,970.75 : x
  2. Step 2: Convert to fraction form
    79,296/170,970.75 = 170,970.75/x
  3. Step 3: Cross multiply
    79,296x = 170,970.75 × 170,970.75
  4. Step 4: Simplify right side
    79,296x = 29,230,997,355.56
  5. Step 5: Solve for x
    x = 29,230,997,355.56/79,296
  6. Step 6: Final answer
    x = 368,631.42

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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.