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Finding the Third Proportional to 172,110 and 241,939.50

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Solution

The third proportional to 172,110 and 241,939.50 is: 340,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,110 : 241,939.50 = 241,939.50 : x
  2. Step 2: Convert to fraction form
    172,110/241,939.50 = 241,939.50/x
  3. Step 3: Cross multiply
    172,110x = 241,939.50 × 241,939.50
  4. Step 4: Simplify right side
    172,110x = 58,534,721,660.25
  5. Step 5: Solve for x
    x = 58,534,721,660.25/172,110
  6. Step 6: Final answer
    x = 340,100.64

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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.