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Finding the Third Proportional to 174,914 and 270,100

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Solution

The third proportional to 174,914 and 270,100 is: 417,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,914 : 270,100 = 270,100 : x
  2. Step 2: Convert to fraction form
    174,914/270,100 = 270,100/x
  3. Step 3: Cross multiply
    174,914x = 270,100 × 270,100
  4. Step 4: Simplify right side
    174,914x = 72,954,010,000
  5. Step 5: Solve for x
    x = 72,954,010,000/174,914
  6. Step 6: Final answer
    x = 417,085.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.