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Finding the Third Proportional to 172,100.25 and 241,926.75

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Solution

The third proportional to 172,100.25 and 241,926.75 is: 340,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,100.25 : 241,926.75 = 241,926.75 : x
  2. Step 2: Convert to fraction form
    172,100.25/241,926.75 = 241,926.75/x
  3. Step 3: Cross multiply
    172,100.25x = 241,926.75 × 241,926.75
  4. Step 4: Simplify right side
    172,100.25x = 58,528,552,365.56
  5. Step 5: Solve for x
    x = 58,528,552,365.56/172,100.25
  6. Step 6: Final answer
    x = 340,084.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.