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Finding the Third Proportional to 169,616 and 365,935

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Solution

The third proportional to 169,616 and 365,935 is: 789,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,616 : 365,935 = 365,935 : x
  2. Step 2: Convert to fraction form
    169,616/365,935 = 365,935/x
  3. Step 3: Cross multiply
    169,616x = 365,935 × 365,935
  4. Step 4: Simplify right side
    169,616x = 133,908,424,225
  5. Step 5: Solve for x
    x = 133,908,424,225/169,616
  6. Step 6: Final answer
    x = 789,479.91

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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.