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Finding the Third Proportional to 252,521.61 and 545,101.21

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Solution

The third proportional to 252,521.61 and 545,101.21 is: 1,176,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,521.61 : 545,101.21 = 545,101.21 : x
  2. Step 2: Convert to fraction form
    252,521.61/545,101.21 = 545,101.21/x
  3. Step 3: Cross multiply
    252,521.61x = 545,101.21 × 545,101.21
  4. Step 4: Simplify right side
    252,521.61x = 297,135,325,906.93
  5. Step 5: Solve for x
    x = 297,135,325,906.93/252,521.61
  6. Step 6: Final answer
    x = 1,176,672.85

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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.