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Finding the Third Proportional to 186,708 and 283,514

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Solution

The third proportional to 186,708 and 283,514 is: 430,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,708 : 283,514 = 283,514 : x
  2. Step 2: Convert to fraction form
    186,708/283,514 = 283,514/x
  3. Step 3: Cross multiply
    186,708x = 283,514 × 283,514
  4. Step 4: Simplify right side
    186,708x = 80,380,188,196
  5. Step 5: Solve for x
    x = 80,380,188,196/186,708
  6. Step 6: Final answer
    x = 430,512.82

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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.