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Finding the Third Proportional to 170,097.75 and 371,279.25

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Solution

The third proportional to 170,097.75 and 371,279.25 is: 810,406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,097.75 : 371,279.25 = 371,279.25 : x
  2. Step 2: Convert to fraction form
    170,097.75/371,279.25 = 371,279.25/x
  3. Step 3: Cross multiply
    170,097.75x = 371,279.25 × 371,279.25
  4. Step 4: Simplify right side
    170,097.75x = 137,848,281,480.56
  5. Step 5: Solve for x
    x = 137,848,281,480.56/170,097.75
  6. Step 6: Final answer
    x = 810,406.26

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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.