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Finding the Third Proportional to 179,873.16 and 416,456.44

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Solution

The third proportional to 179,873.16 and 416,456.44 is: 964,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,873.16 : 416,456.44 = 416,456.44 : x
  2. Step 2: Convert to fraction form
    179,873.16/416,456.44 = 416,456.44/x
  3. Step 3: Cross multiply
    179,873.16x = 416,456.44 × 416,456.44
  4. Step 4: Simplify right side
    179,873.16x = 173,435,964,335.19
  5. Step 5: Solve for x
    x = 173,435,964,335.19/179,873.16
  6. Step 6: Final answer
    x = 964,212.60

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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.