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Finding the Third Proportional to 169,164 and 367,485

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Solution

The third proportional to 169,164 and 367,485 is: 798,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,164 : 367,485 = 367,485 : x
  2. Step 2: Convert to fraction form
    169,164/367,485 = 367,485/x
  3. Step 3: Cross multiply
    169,164x = 367,485 × 367,485
  4. Step 4: Simplify right side
    169,164x = 135,045,225,225
  5. Step 5: Solve for x
    x = 135,045,225,225/169,164
  6. Step 6: Final answer
    x = 798,309.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.