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Finding the Third Proportional to 252,834.47 and 543,189.66

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Solution

The third proportional to 252,834.47 and 543,189.66 is: 1,166,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,834.47 : 543,189.66 = 543,189.66 : x
  2. Step 2: Convert to fraction form
    252,834.47/543,189.66 = 543,189.66/x
  3. Step 3: Cross multiply
    252,834.47x = 543,189.66 × 543,189.66
  4. Step 4: Simplify right side
    252,834.47x = 295,055,002,656.99
  5. Step 5: Solve for x
    x = 295,055,002,656.99/252,834.47
  6. Step 6: Final answer
    x = 1,166,988.84

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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.