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Finding the Third Proportional to 230,805 and 365,162

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Solution

The third proportional to 230,805 and 365,162 is: 577,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,805 : 365,162 = 365,162 : x
  2. Step 2: Convert to fraction form
    230,805/365,162 = 365,162/x
  3. Step 3: Cross multiply
    230,805x = 365,162 × 365,162
  4. Step 4: Simplify right side
    230,805x = 133,343,286,244
  5. Step 5: Solve for x
    x = 133,343,286,244/230,805
  6. Step 6: Final answer
    x = 577,731.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.