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Finding the Third Proportional to 164,277 and 239,956

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Solution

The third proportional to 164,277 and 239,956 is: 350,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,277 : 239,956 = 239,956 : x
  2. Step 2: Convert to fraction form
    164,277/239,956 = 239,956/x
  3. Step 3: Cross multiply
    164,277x = 239,956 × 239,956
  4. Step 4: Simplify right side
    164,277x = 57,578,881,936
  5. Step 5: Solve for x
    x = 57,578,881,936/164,277
  6. Step 6: Final answer
    x = 350,498.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.