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Finding the Third Proportional to 169,227.75 and 371,665.50

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Solution

The third proportional to 169,227.75 and 371,665.50 is: 816,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,227.75 : 371,665.50 = 371,665.50 : x
  2. Step 2: Convert to fraction form
    169,227.75/371,665.50 = 371,665.50/x
  3. Step 3: Cross multiply
    169,227.75x = 371,665.50 × 371,665.50
  4. Step 4: Simplify right side
    169,227.75x = 138,135,243,890.25
  5. Step 5: Solve for x
    x = 138,135,243,890.25/169,227.75
  6. Step 6: Final answer
    x = 816,268.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.