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Finding the Third Proportional to 164,900 and 356,152

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Solution

The third proportional to 164,900 and 356,152 is: 769,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,900 : 356,152 = 356,152 : x
  2. Step 2: Convert to fraction form
    164,900/356,152 = 356,152/x
  3. Step 3: Cross multiply
    164,900x = 356,152 × 356,152
  4. Step 4: Simplify right side
    164,900x = 126,844,247,104
  5. Step 5: Solve for x
    x = 126,844,247,104/164,900
  6. Step 6: Final answer
    x = 769,219.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.