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Finding the Third Proportional to 236,894.50 and 518,076.50

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Solution

The third proportional to 236,894.50 and 518,076.50 is: 1,133,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,894.50 : 518,076.50 = 518,076.50 : x
  2. Step 2: Convert to fraction form
    236,894.50/518,076.50 = 518,076.50/x
  3. Step 3: Cross multiply
    236,894.50x = 518,076.50 × 518,076.50
  4. Step 4: Simplify right side
    236,894.50x = 268,403,259,852.25
  5. Step 5: Solve for x
    x = 268,403,259,852.25/236,894.50
  6. Step 6: Final answer
    x = 1,133,007.56

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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.