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Finding the Third Proportional to 154,464 and 360,874

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Solution

The third proportional to 154,464 and 360,874 is: 843,109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,464 : 360,874 = 360,874 : x
  2. Step 2: Convert to fraction form
    154,464/360,874 = 360,874/x
  3. Step 3: Cross multiply
    154,464x = 360,874 × 360,874
  4. Step 4: Simplify right side
    154,464x = 130,230,043,876
  5. Step 5: Solve for x
    x = 130,230,043,876/154,464
  6. Step 6: Final answer
    x = 843,109.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.