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Finding the Third Proportional to 167,072 and 255,900

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Solution

The third proportional to 167,072 and 255,900 is: 391,955.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,072 : 255,900 = 255,900 : x
  2. Step 2: Convert to fraction form
    167,072/255,900 = 255,900/x
  3. Step 3: Cross multiply
    167,072x = 255,900 × 255,900
  4. Step 4: Simplify right side
    167,072x = 65,484,810,000
  5. Step 5: Solve for x
    x = 65,484,810,000/167,072
  6. Step 6: Final answer
    x = 391,955.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.