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Finding the Third Proportional to 230,015 and 353,054

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Solution

The third proportional to 230,015 and 353,054 is: 541,908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,015 : 353,054 = 353,054 : x
  2. Step 2: Convert to fraction form
    230,015/353,054 = 353,054/x
  3. Step 3: Cross multiply
    230,015x = 353,054 × 353,054
  4. Step 4: Simplify right side
    230,015x = 124,647,126,916
  5. Step 5: Solve for x
    x = 124,647,126,916/230,015
  6. Step 6: Final answer
    x = 541,908.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.