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Finding the Third Proportional to 202,687 and 469,166

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Solution

The third proportional to 202,687 and 469,166 is: 1,085,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,687 : 469,166 = 469,166 : x
  2. Step 2: Convert to fraction form
    202,687/469,166 = 469,166/x
  3. Step 3: Cross multiply
    202,687x = 469,166 × 469,166
  4. Step 4: Simplify right side
    202,687x = 220,116,735,556
  5. Step 5: Solve for x
    x = 220,116,735,556/202,687
  6. Step 6: Final answer
    x = 1,085,993.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.