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Finding the Third Proportional to 173,866 and 362,796

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Solution

The third proportional to 173,866 and 362,796 is: 757,025.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,866 : 362,796 = 362,796 : x
  2. Step 2: Convert to fraction form
    173,866/362,796 = 362,796/x
  3. Step 3: Cross multiply
    173,866x = 362,796 × 362,796
  4. Step 4: Simplify right side
    173,866x = 131,620,937,616
  5. Step 5: Solve for x
    x = 131,620,937,616/173,866
  6. Step 6: Final answer
    x = 757,025.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.