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Finding the Third Proportional to 230,238 and 471,888

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Solution

The third proportional to 230,238 and 471,888 is: 967,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,238 : 471,888 = 471,888 : x
  2. Step 2: Convert to fraction form
    230,238/471,888 = 471,888/x
  3. Step 3: Cross multiply
    230,238x = 471,888 × 471,888
  4. Step 4: Simplify right side
    230,238x = 222,678,284,544
  5. Step 5: Solve for x
    x = 222,678,284,544/230,238
  6. Step 6: Final answer
    x = 967,165.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.