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Finding the Third Proportional to 252,523.83 and 545,107.22

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Solution

The third proportional to 252,523.83 and 545,107.22 is: 1,176,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,523.83 : 545,107.22 = 545,107.22 : x
  2. Step 2: Convert to fraction form
    252,523.83/545,107.22 = 545,107.22/x
  3. Step 3: Cross multiply
    252,523.83x = 545,107.22 × 545,107.22
  4. Step 4: Simplify right side
    252,523.83x = 297,141,879,933.36
  5. Step 5: Solve for x
    x = 297,141,879,933.36/252,523.83
  6. Step 6: Final answer
    x = 1,176,688.48

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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.