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Finding the Third Proportional to 252,121.50 and 537,939

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Solution

The third proportional to 252,121.50 and 537,939 is: 1,147,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,121.50 : 537,939 = 537,939 : x
  2. Step 2: Convert to fraction form
    252,121.50/537,939 = 537,939/x
  3. Step 3: Cross multiply
    252,121.50x = 537,939 × 537,939
  4. Step 4: Simplify right side
    252,121.50x = 289,378,367,721
  5. Step 5: Solve for x
    x = 289,378,367,721/252,121.50
  6. Step 6: Final answer
    x = 1,147,773.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.