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Finding the Third Proportional to 138,947 and 303,318

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Solution

The third proportional to 138,947 and 303,318 is: 662,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,947 : 303,318 = 303,318 : x
  2. Step 2: Convert to fraction form
    138,947/303,318 = 303,318/x
  3. Step 3: Cross multiply
    138,947x = 303,318 × 303,318
  4. Step 4: Simplify right side
    138,947x = 92,001,809,124
  5. Step 5: Solve for x
    x = 92,001,809,124/138,947
  6. Step 6: Final answer
    x = 662,135.99

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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.