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Finding the Third Proportional to 186,426 and 283,668

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Solution

The third proportional to 186,426 and 283,668 is: 431,632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,426 : 283,668 = 283,668 : x
  2. Step 2: Convert to fraction form
    186,426/283,668 = 283,668/x
  3. Step 3: Cross multiply
    186,426x = 283,668 × 283,668
  4. Step 4: Simplify right side
    186,426x = 80,467,534,224
  5. Step 5: Solve for x
    x = 80,467,534,224/186,426
  6. Step 6: Final answer
    x = 431,632.57

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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.