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Finding the Third Proportional to 139,172 and 298,016

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Solution

The third proportional to 139,172 and 298,016 is: 638,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,172 : 298,016 = 298,016 : x
  2. Step 2: Convert to fraction form
    139,172/298,016 = 298,016/x
  3. Step 3: Cross multiply
    139,172x = 298,016 × 298,016
  4. Step 4: Simplify right side
    139,172x = 88,813,536,256
  5. Step 5: Solve for x
    x = 88,813,536,256/139,172
  6. Step 6: Final answer
    x = 638,156.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.