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Finding the Third Proportional to 261,760 and 400,252.75

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Solution

The third proportional to 261,760 and 400,252.75 is: 612,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,760 : 400,252.75 = 400,252.75 : x
  2. Step 2: Convert to fraction form
    261,760/400,252.75 = 400,252.75/x
  3. Step 3: Cross multiply
    261,760x = 400,252.75 × 400,252.75
  4. Step 4: Simplify right side
    261,760x = 160,202,263,882.56
  5. Step 5: Solve for x
    x = 160,202,263,882.56/261,760
  6. Step 6: Final answer
    x = 612,019.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.