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Finding the Third Proportional to 170,172 and 365,616

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Solution

The third proportional to 170,172 and 365,616 is: 785,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,172 : 365,616 = 365,616 : x
  2. Step 2: Convert to fraction form
    170,172/365,616 = 365,616/x
  3. Step 3: Cross multiply
    170,172x = 365,616 × 365,616
  4. Step 4: Simplify right side
    170,172x = 133,675,059,456
  5. Step 5: Solve for x
    x = 133,675,059,456/170,172
  6. Step 6: Final answer
    x = 785,529.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.