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Finding the Third Proportional to 167,919 and 282,010

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Solution

The third proportional to 167,919 and 282,010 is: 473,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,919 : 282,010 = 282,010 : x
  2. Step 2: Convert to fraction form
    167,919/282,010 = 282,010/x
  3. Step 3: Cross multiply
    167,919x = 282,010 × 282,010
  4. Step 4: Simplify right side
    167,919x = 79,529,640,100
  5. Step 5: Solve for x
    x = 79,529,640,100/167,919
  6. Step 6: Final answer
    x = 473,619.07

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.