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Finding the Third Proportional to 188,429.06 and 255,872.81

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Solution

The third proportional to 188,429.06 and 255,872.81 is: 347,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,429.06 : 255,872.81 = 255,872.81 : x
  2. Step 2: Convert to fraction form
    188,429.06/255,872.81 = 255,872.81/x
  3. Step 3: Cross multiply
    188,429.06x = 255,872.81 × 255,872.81
  4. Step 4: Simplify right side
    188,429.06x = 65,470,896,176.66
  5. Step 5: Solve for x
    x = 65,470,896,176.66/188,429.06
  6. Step 6: Final answer
    x = 347,456.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.