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Finding the Third Proportional to 157,286.25 and 250,180.88

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Solution

The third proportional to 157,286.25 and 250,180.88 is: 397,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,286.25 : 250,180.88 = 250,180.88 : x
  2. Step 2: Convert to fraction form
    157,286.25/250,180.88 = 250,180.88/x
  3. Step 3: Cross multiply
    157,286.25x = 250,180.88 × 250,180.88
  4. Step 4: Simplify right side
    157,286.25x = 62,590,470,215.77
  5. Step 5: Solve for x
    x = 62,590,470,215.77/157,286.25
  6. Step 6: Final answer
    x = 397,939.87

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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.