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Finding the Third Proportional to 139,494 and 302,162

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Solution

The third proportional to 139,494 and 302,162 is: 654,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,494 : 302,162 = 302,162 : x
  2. Step 2: Convert to fraction form
    139,494/302,162 = 302,162/x
  3. Step 3: Cross multiply
    139,494x = 302,162 × 302,162
  4. Step 4: Simplify right side
    139,494x = 91,301,874,244
  5. Step 5: Solve for x
    x = 91,301,874,244/139,494
  6. Step 6: Final answer
    x = 654,521.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.