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Finding the Third Proportional to 164,660 and 342,238

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Solution

The third proportional to 164,660 and 342,238 is: 711,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,660 : 342,238 = 342,238 : x
  2. Step 2: Convert to fraction form
    164,660/342,238 = 342,238/x
  3. Step 3: Cross multiply
    164,660x = 342,238 × 342,238
  4. Step 4: Simplify right side
    164,660x = 117,126,848,644
  5. Step 5: Solve for x
    x = 117,126,848,644/164,660
  6. Step 6: Final answer
    x = 711,325.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.