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Finding the Third Proportional to 164,188 and 356,399

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Solution

The third proportional to 164,188 and 356,399 is: 773,626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,188 : 356,399 = 356,399 : x
  2. Step 2: Convert to fraction form
    164,188/356,399 = 356,399/x
  3. Step 3: Cross multiply
    164,188x = 356,399 × 356,399
  4. Step 4: Simplify right side
    164,188x = 127,020,247,201
  5. Step 5: Solve for x
    x = 127,020,247,201/164,188
  6. Step 6: Final answer
    x = 773,626.86

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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.