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Finding the Third Proportional to 179,957 and 416,610

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Solution

The third proportional to 179,957 and 416,610 is: 964,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,957 : 416,610 = 416,610 : x
  2. Step 2: Convert to fraction form
    179,957/416,610 = 416,610/x
  3. Step 3: Cross multiply
    179,957x = 416,610 × 416,610
  4. Step 4: Simplify right side
    179,957x = 173,563,892,100
  5. Step 5: Solve for x
    x = 173,563,892,100/179,957
  6. Step 6: Final answer
    x = 964,474.25

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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.