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Finding the Third Proportional to 186,266 and 281,199

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Solution

The third proportional to 186,266 and 281,199 is: 424,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,266 : 281,199 = 281,199 : x
  2. Step 2: Convert to fraction form
    186,266/281,199 = 281,199/x
  3. Step 3: Cross multiply
    186,266x = 281,199 × 281,199
  4. Step 4: Simplify right side
    186,266x = 79,072,877,601
  5. Step 5: Solve for x
    x = 79,072,877,601/186,266
  6. Step 6: Final answer
    x = 424,515.89

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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.