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Finding the Third Proportional to 79,230 and 174,012

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Solution

The third proportional to 79,230 and 174,012 is: 382,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,230 : 174,012 = 174,012 : x
  2. Step 2: Convert to fraction form
    79,230/174,012 = 174,012/x
  3. Step 3: Cross multiply
    79,230x = 174,012 × 174,012
  4. Step 4: Simplify right side
    79,230x = 30,280,176,144
  5. Step 5: Solve for x
    x = 30,280,176,144/79,230
  6. Step 6: Final answer
    x = 382,180.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.