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Finding the Third Proportional to 178,452 and 276,739.50

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Solution

The third proportional to 178,452 and 276,739.50 is: 429,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,452 : 276,739.50 = 276,739.50 : x
  2. Step 2: Convert to fraction form
    178,452/276,739.50 = 276,739.50/x
  3. Step 3: Cross multiply
    178,452x = 276,739.50 × 276,739.50
  4. Step 4: Simplify right side
    178,452x = 76,584,750,860.25
  5. Step 5: Solve for x
    x = 76,584,750,860.25/178,452
  6. Step 6: Final answer
    x = 429,161.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.