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Finding the Third Proportional to 187,958 and 405,257

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Solution

The third proportional to 187,958 and 405,257 is: 873,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,958 : 405,257 = 405,257 : x
  2. Step 2: Convert to fraction form
    187,958/405,257 = 405,257/x
  3. Step 3: Cross multiply
    187,958x = 405,257 × 405,257
  4. Step 4: Simplify right side
    187,958x = 164,233,236,049
  5. Step 5: Solve for x
    x = 164,233,236,049/187,958
  6. Step 6: Final answer
    x = 873,776.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.