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Finding the Third Proportional to 252,850.50 and 543,222

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Solution

The third proportional to 252,850.50 and 543,222 is: 1,167,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,850.50 : 543,222 = 543,222 : x
  2. Step 2: Convert to fraction form
    252,850.50/543,222 = 543,222/x
  3. Step 3: Cross multiply
    252,850.50x = 543,222 × 543,222
  4. Step 4: Simplify right side
    252,850.50x = 295,090,141,284
  5. Step 5: Solve for x
    x = 295,090,141,284/252,850.50
  6. Step 6: Final answer
    x = 1,167,053.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.