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Finding the Third Proportional to 138,982 and 303,453

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Solution

The third proportional to 138,982 and 303,453 is: 662,558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,982 : 303,453 = 303,453 : x
  2. Step 2: Convert to fraction form
    138,982/303,453 = 303,453/x
  3. Step 3: Cross multiply
    138,982x = 303,453 × 303,453
  4. Step 4: Simplify right side
    138,982x = 92,083,723,209
  5. Step 5: Solve for x
    x = 92,083,723,209/138,982
  6. Step 6: Final answer
    x = 662,558.63

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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.