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Finding the Third Proportional to 208,082 and 313,588

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Solution

The third proportional to 208,082 and 313,588 is: 472,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,082 : 313,588 = 313,588 : x
  2. Step 2: Convert to fraction form
    208,082/313,588 = 313,588/x
  3. Step 3: Cross multiply
    208,082x = 313,588 × 313,588
  4. Step 4: Simplify right side
    208,082x = 98,337,433,744
  5. Step 5: Solve for x
    x = 98,337,433,744/208,082
  6. Step 6: Final answer
    x = 472,589.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.