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Finding the Third Proportional to 186,627 and 283,397

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Solution

The third proportional to 186,627 and 283,397 is: 430,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,627 : 283,397 = 283,397 : x
  2. Step 2: Convert to fraction form
    186,627/283,397 = 283,397/x
  3. Step 3: Cross multiply
    186,627x = 283,397 × 283,397
  4. Step 4: Simplify right side
    186,627x = 80,313,859,609
  5. Step 5: Solve for x
    x = 80,313,859,609/186,627
  6. Step 6: Final answer
    x = 430,344.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.