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Finding the Third Proportional to 230,088 and 471,326

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Solution

The third proportional to 230,088 and 471,326 is: 965,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,088 : 471,326 = 471,326 : x
  2. Step 2: Convert to fraction form
    230,088/471,326 = 471,326/x
  3. Step 3: Cross multiply
    230,088x = 471,326 × 471,326
  4. Step 4: Simplify right side
    230,088x = 222,148,198,276
  5. Step 5: Solve for x
    x = 222,148,198,276/230,088
  6. Step 6: Final answer
    x = 965,492.33

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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.