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Finding the Third Proportional to 248,723.25 and 532,932.75

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Solution

The third proportional to 248,723.25 and 532,932.75 is: 1,141,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,723.25 : 532,932.75 = 532,932.75 : x
  2. Step 2: Convert to fraction form
    248,723.25/532,932.75 = 532,932.75/x
  3. Step 3: Cross multiply
    248,723.25x = 532,932.75 × 532,932.75
  4. Step 4: Simplify right side
    248,723.25x = 284,017,316,022.56
  5. Step 5: Solve for x
    x = 284,017,316,022.56/248,723.25
  6. Step 6: Final answer
    x = 1,141,900.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.