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Finding the Third Proportional to 187,764 and 283,241

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Solution

The third proportional to 187,764 and 283,241 is: 427,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,764 : 283,241 = 283,241 : x
  2. Step 2: Convert to fraction form
    187,764/283,241 = 283,241/x
  3. Step 3: Cross multiply
    187,764x = 283,241 × 283,241
  4. Step 4: Simplify right side
    187,764x = 80,225,464,081
  5. Step 5: Solve for x
    x = 80,225,464,081/187,764
  6. Step 6: Final answer
    x = 427,267.55

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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.