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Finding the Third Proportional to 138,966 and 303,024

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Solution

The third proportional to 138,966 and 303,024 is: 660,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,966 : 303,024 = 303,024 : x
  2. Step 2: Convert to fraction form
    138,966/303,024 = 303,024/x
  3. Step 3: Cross multiply
    138,966x = 303,024 × 303,024
  4. Step 4: Simplify right side
    138,966x = 91,823,544,576
  5. Step 5: Solve for x
    x = 91,823,544,576/138,966
  6. Step 6: Final answer
    x = 660,762.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.