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Finding the Third Proportional to 187,241 and 287,118

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Solution

The third proportional to 187,241 and 287,118 is: 440,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,241 : 287,118 = 287,118 : x
  2. Step 2: Convert to fraction form
    187,241/287,118 = 287,118/x
  3. Step 3: Cross multiply
    187,241x = 287,118 × 287,118
  4. Step 4: Simplify right side
    187,241x = 82,436,745,924
  5. Step 5: Solve for x
    x = 82,436,745,924/187,241
  6. Step 6: Final answer
    x = 440,270.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.