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Finding the Third Proportional to 174,033 and 276,922

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Solution

The third proportional to 174,033 and 276,922 is: 440,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,033 : 276,922 = 276,922 : x
  2. Step 2: Convert to fraction form
    174,033/276,922 = 276,922/x
  3. Step 3: Cross multiply
    174,033x = 276,922 × 276,922
  4. Step 4: Simplify right side
    174,033x = 76,685,794,084
  5. Step 5: Solve for x
    x = 76,685,794,084/174,033
  6. Step 6: Final answer
    x = 440,639.38

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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.