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Finding the Third Proportional to 119,074 and 178,483

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Solution

The third proportional to 119,074 and 178,483 is: 267,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,074 : 178,483 = 178,483 : x
  2. Step 2: Convert to fraction form
    119,074/178,483 = 178,483/x
  3. Step 3: Cross multiply
    119,074x = 178,483 × 178,483
  4. Step 4: Simplify right side
    119,074x = 31,856,181,289
  5. Step 5: Solve for x
    x = 31,856,181,289/119,074
  6. Step 6: Final answer
    x = 267,532.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.