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Finding the Third Proportional to 164,079 and 226,071

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Solution

The third proportional to 164,079 and 226,071 is: 311,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,079 : 226,071 = 226,071 : x
  2. Step 2: Convert to fraction form
    164,079/226,071 = 226,071/x
  3. Step 3: Cross multiply
    164,079x = 226,071 × 226,071
  4. Step 4: Simplify right side
    164,079x = 51,108,097,041
  5. Step 5: Solve for x
    x = 51,108,097,041/164,079
  6. Step 6: Final answer
    x = 311,484.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.