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Finding the Third Proportional to 167,922 and 282,014

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Solution

The third proportional to 167,922 and 282,014 is: 473,624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,922 : 282,014 = 282,014 : x
  2. Step 2: Convert to fraction form
    167,922/282,014 = 282,014/x
  3. Step 3: Cross multiply
    167,922x = 282,014 × 282,014
  4. Step 4: Simplify right side
    167,922x = 79,531,896,196
  5. Step 5: Solve for x
    x = 79,531,896,196/167,922
  6. Step 6: Final answer
    x = 473,624.04

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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.