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Finding the Third Proportional to 170,047.48 and 371,179.97

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Solution

The third proportional to 170,047.48 and 371,179.97 is: 810,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,047.48 : 371,179.97 = 371,179.97 : x
  2. Step 2: Convert to fraction form
    170,047.48/371,179.97 = 371,179.97/x
  3. Step 3: Cross multiply
    170,047.48x = 371,179.97 × 371,179.97
  4. Step 4: Simplify right side
    170,047.48x = 137,774,569,201.25
  5. Step 5: Solve for x
    x = 137,774,569,201.25/170,047.48
  6. Step 6: Final answer
    x = 810,212.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.