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Finding the Third Proportional to 236,370 and 518,668

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Solution

The third proportional to 236,370 and 518,668 is: 1,138,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,370 : 518,668 = 518,668 : x
  2. Step 2: Convert to fraction form
    236,370/518,668 = 518,668/x
  3. Step 3: Cross multiply
    236,370x = 518,668 × 518,668
  4. Step 4: Simplify right side
    236,370x = 269,016,494,224
  5. Step 5: Solve for x
    x = 269,016,494,224/236,370
  6. Step 6: Final answer
    x = 1,138,116.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.