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Finding the Third Proportional to 186,500 and 281,304

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Solution

The third proportional to 186,500 and 281,304 is: 424,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,500 : 281,304 = 281,304 : x
  2. Step 2: Convert to fraction form
    186,500/281,304 = 281,304/x
  3. Step 3: Cross multiply
    186,500x = 281,304 × 281,304
  4. Step 4: Simplify right side
    186,500x = 79,131,940,416
  5. Step 5: Solve for x
    x = 79,131,940,416/186,500
  6. Step 6: Final answer
    x = 424,299.95

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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.