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Finding the Third Proportional to 170,045 and 371,173

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Solution

The third proportional to 170,045 and 371,173 is: 810,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,045 : 371,173 = 371,173 : x
  2. Step 2: Convert to fraction form
    170,045/371,173 = 371,173/x
  3. Step 3: Cross multiply
    170,045x = 371,173 × 371,173
  4. Step 4: Simplify right side
    170,045x = 137,769,395,929
  5. Step 5: Solve for x
    x = 137,769,395,929/170,045
  6. Step 6: Final answer
    x = 810,193.75

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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.