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Finding the Third Proportional to 139,980 and 303,288

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Solution

The third proportional to 139,980 and 303,288 is: 657,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,980 : 303,288 = 303,288 : x
  2. Step 2: Convert to fraction form
    139,980/303,288 = 303,288/x
  3. Step 3: Cross multiply
    139,980x = 303,288 × 303,288
  4. Step 4: Simplify right side
    139,980x = 91,983,610,944
  5. Step 5: Solve for x
    x = 91,983,610,944/139,980
  6. Step 6: Final answer
    x = 657,119.67

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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.