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Finding the Third Proportional to 185,976 and 407,571.75

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Solution

The third proportional to 185,976 and 407,571.75 is: 893,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,976 : 407,571.75 = 407,571.75 : x
  2. Step 2: Convert to fraction form
    185,976/407,571.75 = 407,571.75/x
  3. Step 3: Cross multiply
    185,976x = 407,571.75 × 407,571.75
  4. Step 4: Simplify right side
    185,976x = 166,114,731,398.06
  5. Step 5: Solve for x
    x = 166,114,731,398.06/185,976
  6. Step 6: Final answer
    x = 893,205.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.