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Finding the Third Proportional to 230,874 and 360,891

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Solution

The third proportional to 230,874 and 360,891 is: 564,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,874 : 360,891 = 360,891 : x
  2. Step 2: Convert to fraction form
    230,874/360,891 = 360,891/x
  3. Step 3: Cross multiply
    230,874x = 360,891 × 360,891
  4. Step 4: Simplify right side
    230,874x = 130,242,313,881
  5. Step 5: Solve for x
    x = 130,242,313,881/230,874
  6. Step 6: Final answer
    x = 564,127.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.