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Finding the Third Proportional to 164,271 and 356,427

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Solution

The third proportional to 164,271 and 356,427 is: 773,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,271 : 356,427 = 356,427 : x
  2. Step 2: Convert to fraction form
    164,271/356,427 = 356,427/x
  3. Step 3: Cross multiply
    164,271x = 356,427 × 356,427
  4. Step 4: Simplify right side
    164,271x = 127,040,206,329
  5. Step 5: Solve for x
    x = 127,040,206,329/164,271
  6. Step 6: Final answer
    x = 773,357.48

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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.