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Finding the Third Proportional to 161,816 and 354,736

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Solution

The third proportional to 161,816 and 354,736 is: 777,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,816 : 354,736 = 354,736 : x
  2. Step 2: Convert to fraction form
    161,816/354,736 = 354,736/x
  3. Step 3: Cross multiply
    161,816x = 354,736 × 354,736
  4. Step 4: Simplify right side
    161,816x = 125,837,629,696
  5. Step 5: Solve for x
    x = 125,837,629,696/161,816
  6. Step 6: Final answer
    x = 777,658.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.