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Finding the Third Proportional to 173,116 and 261,546

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Solution

The third proportional to 173,116 and 261,546 is: 395,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,116 : 261,546 = 261,546 : x
  2. Step 2: Convert to fraction form
    173,116/261,546 = 261,546/x
  3. Step 3: Cross multiply
    173,116x = 261,546 × 261,546
  4. Step 4: Simplify right side
    173,116x = 68,406,310,116
  5. Step 5: Solve for x
    x = 68,406,310,116/173,116
  6. Step 6: Final answer
    x = 395,147.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.