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Finding the Third Proportional to 174,078 and 276,669

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Solution

The third proportional to 174,078 and 276,669 is: 439,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,078 : 276,669 = 276,669 : x
  2. Step 2: Convert to fraction form
    174,078/276,669 = 276,669/x
  3. Step 3: Cross multiply
    174,078x = 276,669 × 276,669
  4. Step 4: Simplify right side
    174,078x = 76,545,735,561
  5. Step 5: Solve for x
    x = 76,545,735,561/174,078
  6. Step 6: Final answer
    x = 439,720.90

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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.