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Finding the Third Proportional to 245,616 and 366,903

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Solution

The third proportional to 245,616 and 366,903 is: 548,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,616 : 366,903 = 366,903 : x
  2. Step 2: Convert to fraction form
    245,616/366,903 = 366,903/x
  3. Step 3: Cross multiply
    245,616x = 366,903 × 366,903
  4. Step 4: Simplify right side
    245,616x = 134,617,811,409
  5. Step 5: Solve for x
    x = 134,617,811,409/245,616
  6. Step 6: Final answer
    x = 548,082.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.