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Finding the Third Proportional to 179,939.25 and 416,565

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Solution

The third proportional to 179,939.25 and 416,565 is: 964,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,939.25 : 416,565 = 416,565 : x
  2. Step 2: Convert to fraction form
    179,939.25/416,565 = 416,565/x
  3. Step 3: Cross multiply
    179,939.25x = 416,565 × 416,565
  4. Step 4: Simplify right side
    179,939.25x = 173,526,399,225
  5. Step 5: Solve for x
    x = 173,526,399,225/179,939.25
  6. Step 6: Final answer
    x = 964,361.02

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.