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Finding the Third Proportional to 187,200 and 282,816

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Solution

The third proportional to 187,200 and 282,816 is: 427,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,200 : 282,816 = 282,816 : x
  2. Step 2: Convert to fraction form
    187,200/282,816 = 282,816/x
  3. Step 3: Cross multiply
    187,200x = 282,816 × 282,816
  4. Step 4: Simplify right side
    187,200x = 79,984,889,856
  5. Step 5: Solve for x
    x = 79,984,889,856/187,200
  6. Step 6: Final answer
    x = 427,269.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.