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Finding the Third Proportional to 187,874 and 382,307

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Solution

The third proportional to 187,874 and 382,307 is: 777,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,874 : 382,307 = 382,307 : x
  2. Step 2: Convert to fraction form
    187,874/382,307 = 382,307/x
  3. Step 3: Cross multiply
    187,874x = 382,307 × 382,307
  4. Step 4: Simplify right side
    187,874x = 146,158,642,249
  5. Step 5: Solve for x
    x = 146,158,642,249/187,874
  6. Step 6: Final answer
    x = 777,960.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.