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Finding the Third Proportional to 252,199.83 and 545,610.94

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Solution

The third proportional to 252,199.83 and 545,610.94 is: 1,180,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,199.83 : 545,610.94 = 545,610.94 : x
  2. Step 2: Convert to fraction form
    252,199.83/545,610.94 = 545,610.94/x
  3. Step 3: Cross multiply
    252,199.83x = 545,610.94 × 545,610.94
  4. Step 4: Simplify right side
    252,199.83x = 297,691,295,119.63
  5. Step 5: Solve for x
    x = 297,691,295,119.63/252,199.83
  6. Step 6: Final answer
    x = 1,180,378.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.