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Finding the Third Proportional to 180,054 and 416,844

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Solution

The third proportional to 180,054 and 416,844 is: 965,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,054 : 416,844 = 416,844 : x
  2. Step 2: Convert to fraction form
    180,054/416,844 = 416,844/x
  3. Step 3: Cross multiply
    180,054x = 416,844 × 416,844
  4. Step 4: Simplify right side
    180,054x = 173,758,920,336
  5. Step 5: Solve for x
    x = 173,758,920,336/180,054
  6. Step 6: Final answer
    x = 965,037.82

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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.