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Finding the Third Proportional to 167,926 and 282,020

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Solution

The third proportional to 167,926 and 282,020 is: 473,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,926 : 282,020 = 282,020 : x
  2. Step 2: Convert to fraction form
    167,926/282,020 = 282,020/x
  3. Step 3: Cross multiply
    167,926x = 282,020 × 282,020
  4. Step 4: Simplify right side
    167,926x = 79,535,280,400
  5. Step 5: Solve for x
    x = 79,535,280,400/167,926
  6. Step 6: Final answer
    x = 473,632.91

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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.