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Finding the Third Proportional to 250,359.75 and 384,288.75

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Solution

The third proportional to 250,359.75 and 384,288.75 is: 589,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,359.75 : 384,288.75 = 384,288.75 : x
  2. Step 2: Convert to fraction form
    250,359.75/384,288.75 = 384,288.75/x
  3. Step 3: Cross multiply
    250,359.75x = 384,288.75 × 384,288.75
  4. Step 4: Simplify right side
    250,359.75x = 147,677,843,376.56
  5. Step 5: Solve for x
    x = 147,677,843,376.56/250,359.75
  6. Step 6: Final answer
    x = 589,862.56

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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.