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Finding the Third Proportional to 174,844 and 383,950

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Solution

The third proportional to 174,844 and 383,950 is: 843,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,844 : 383,950 = 383,950 : x
  2. Step 2: Convert to fraction form
    174,844/383,950 = 383,950/x
  3. Step 3: Cross multiply
    174,844x = 383,950 × 383,950
  4. Step 4: Simplify right side
    174,844x = 147,417,602,500
  5. Step 5: Solve for x
    x = 147,417,602,500/174,844
  6. Step 6: Final answer
    x = 843,137.90

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Why These Related Problems?

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