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Finding the Third Proportional to 157,054 and 340,874

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Solution

The third proportional to 157,054 and 340,874 is: 739,841.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,054 : 340,874 = 340,874 : x
  2. Step 2: Convert to fraction form
    157,054/340,874 = 340,874/x
  3. Step 3: Cross multiply
    157,054x = 340,874 × 340,874
  4. Step 4: Simplify right side
    157,054x = 116,195,083,876
  5. Step 5: Solve for x
    x = 116,195,083,876/157,054
  6. Step 6: Final answer
    x = 739,841.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.