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Finding the Third Proportional to 139,176 and 298,026

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Solution

The third proportional to 139,176 and 298,026 is: 638,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,176 : 298,026 = 298,026 : x
  2. Step 2: Convert to fraction form
    139,176/298,026 = 298,026/x
  3. Step 3: Cross multiply
    139,176x = 298,026 × 298,026
  4. Step 4: Simplify right side
    139,176x = 88,819,496,676
  5. Step 5: Solve for x
    x = 88,819,496,676/139,176
  6. Step 6: Final answer
    x = 638,181.13

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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.