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Finding the Third Proportional to 159,228.75 and 248,532.75

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Solution

The third proportional to 159,228.75 and 248,532.75 is: 387,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,228.75 : 248,532.75 = 248,532.75 : x
  2. Step 2: Convert to fraction form
    159,228.75/248,532.75 = 248,532.75/x
  3. Step 3: Cross multiply
    159,228.75x = 248,532.75 × 248,532.75
  4. Step 4: Simplify right side
    159,228.75x = 61,768,527,822.56
  5. Step 5: Solve for x
    x = 61,768,527,822.56/159,228.75
  6. Step 6: Final answer
    x = 387,923.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.