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Finding the Third Proportional to 236,311.50 and 518,546.25

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Solution

The third proportional to 236,311.50 and 518,546.25 is: 1,137,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,311.50 : 518,546.25 = 518,546.25 : x
  2. Step 2: Convert to fraction form
    236,311.50/518,546.25 = 518,546.25/x
  3. Step 3: Cross multiply
    236,311.50x = 518,546.25 × 518,546.25
  4. Step 4: Simplify right side
    236,311.50x = 268,890,213,389.06
  5. Step 5: Solve for x
    x = 268,890,213,389.06/236,311.50
  6. Step 6: Final answer
    x = 1,137,863.43

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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.