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Finding the Third Proportional to 174,085 and 276,679

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Solution

The third proportional to 174,085 and 276,679 is: 439,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,085 : 276,679 = 276,679 : x
  2. Step 2: Convert to fraction form
    174,085/276,679 = 276,679/x
  3. Step 3: Cross multiply
    174,085x = 276,679 × 276,679
  4. Step 4: Simplify right side
    174,085x = 76,551,269,041
  5. Step 5: Solve for x
    x = 76,551,269,041/174,085
  6. Step 6: Final answer
    x = 439,735.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.