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Finding the Third Proportional to 179,968 and 416,637

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Solution

The third proportional to 179,968 and 416,637 is: 964,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,968 : 416,637 = 416,637 : x
  2. Step 2: Convert to fraction form
    179,968/416,637 = 416,637/x
  3. Step 3: Cross multiply
    179,968x = 416,637 × 416,637
  4. Step 4: Simplify right side
    179,968x = 173,586,389,769
  5. Step 5: Solve for x
    x = 173,586,389,769/179,968
  6. Step 6: Final answer
    x = 964,540.31

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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.