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Finding the Third Proportional to 236,317.50 and 518,571

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Solution

The third proportional to 236,317.50 and 518,571 is: 1,137,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,317.50 : 518,571 = 518,571 : x
  2. Step 2: Convert to fraction form
    236,317.50/518,571 = 518,571/x
  3. Step 3: Cross multiply
    236,317.50x = 518,571 × 518,571
  4. Step 4: Simplify right side
    236,317.50x = 268,915,882,041
  5. Step 5: Solve for x
    x = 268,915,882,041/236,317.50
  6. Step 6: Final answer
    x = 1,137,943.16

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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.