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Finding the Third Proportional to 76,464 and 179,906

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Solution

The third proportional to 76,464 and 179,906 is: 423,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464 : 179,906 = 179,906 : x
  2. Step 2: Convert to fraction form
    76,464/179,906 = 179,906/x
  3. Step 3: Cross multiply
    76,464x = 179,906 × 179,906
  4. Step 4: Simplify right side
    76,464x = 32,366,168,836
  5. Step 5: Solve for x
    x = 32,366,168,836/76,464
  6. Step 6: Final answer
    x = 423,286.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.