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Finding the Third Proportional to 236,860.50 and 518,007.50

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Solution

The third proportional to 236,860.50 and 518,007.50 is: 1,132,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,860.50 : 518,007.50 = 518,007.50 : x
  2. Step 2: Convert to fraction form
    236,860.50/518,007.50 = 518,007.50/x
  3. Step 3: Cross multiply
    236,860.50x = 518,007.50 × 518,007.50
  4. Step 4: Simplify right side
    236,860.50x = 268,331,770,056.25
  5. Step 5: Solve for x
    x = 268,331,770,056.25/236,860.50
  6. Step 6: Final answer
    x = 1,132,868.38

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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.