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Finding the Third Proportional to 172,145.25 and 241,989.19

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Solution

The third proportional to 172,145.25 and 241,989.19 is: 340,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,145.25 : 241,989.19 = 241,989.19 : x
  2. Step 2: Convert to fraction form
    172,145.25/241,989.19 = 241,989.19/x
  3. Step 3: Cross multiply
    172,145.25x = 241,989.19 × 241,989.19
  4. Step 4: Simplify right side
    172,145.25x = 58,558,766,866.91
  5. Step 5: Solve for x
    x = 58,558,766,866.91/172,145.25
  6. Step 6: Final answer
    x = 340,170.68

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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.