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Finding the Third Proportional to 202,664 and 469,177

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Solution

The third proportional to 202,664 and 469,177 is: 1,086,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,664 : 469,177 = 469,177 : x
  2. Step 2: Convert to fraction form
    202,664/469,177 = 469,177/x
  3. Step 3: Cross multiply
    202,664x = 469,177 × 469,177
  4. Step 4: Simplify right side
    202,664x = 220,127,057,329
  5. Step 5: Solve for x
    x = 220,127,057,329/202,664
  6. Step 6: Final answer
    x = 1,086,167.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.