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Finding the Third Proportional to 117,464 and 178,950

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Solution

The third proportional to 117,464 and 178,950 is: 272,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,464 : 178,950 = 178,950 : x
  2. Step 2: Convert to fraction form
    117,464/178,950 = 178,950/x
  3. Step 3: Cross multiply
    117,464x = 178,950 × 178,950
  4. Step 4: Simplify right side
    117,464x = 32,023,102,500
  5. Step 5: Solve for x
    x = 32,023,102,500/117,464
  6. Step 6: Final answer
    x = 272,620.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.