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Finding the Third Proportional to 248,049 and 393,288.75

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Solution

The third proportional to 248,049 and 393,288.75 is: 623,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,049 : 393,288.75 = 393,288.75 : x
  2. Step 2: Convert to fraction form
    248,049/393,288.75 = 393,288.75/x
  3. Step 3: Cross multiply
    248,049x = 393,288.75 × 393,288.75
  4. Step 4: Simplify right side
    248,049x = 154,676,040,876.56
  5. Step 5: Solve for x
    x = 154,676,040,876.56/248,049
  6. Step 6: Final answer
    x = 623,570.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.