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Finding the Third Proportional to 139,144 and 297,965

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Solution

The third proportional to 139,144 and 297,965 is: 638,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,144 : 297,965 = 297,965 : x
  2. Step 2: Convert to fraction form
    139,144/297,965 = 297,965/x
  3. Step 3: Cross multiply
    139,144x = 297,965 × 297,965
  4. Step 4: Simplify right side
    139,144x = 88,783,141,225
  5. Step 5: Solve for x
    x = 88,783,141,225/139,144
  6. Step 6: Final answer
    x = 638,066.62

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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.