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Finding the Third Proportional to 241,027.50 and 460,185

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Solution

The third proportional to 241,027.50 and 460,185 is: 878,614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,027.50 : 460,185 = 460,185 : x
  2. Step 2: Convert to fraction form
    241,027.50/460,185 = 460,185/x
  3. Step 3: Cross multiply
    241,027.50x = 460,185 × 460,185
  4. Step 4: Simplify right side
    241,027.50x = 211,770,234,225
  5. Step 5: Solve for x
    x = 211,770,234,225/241,027.50
  6. Step 6: Final answer
    x = 878,614.41

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.