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Finding the Third Proportional to 174,982.13 and 361,005

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Solution

The third proportional to 174,982.13 and 361,005 is: 744,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,982.13 : 361,005 = 361,005 : x
  2. Step 2: Convert to fraction form
    174,982.13/361,005 = 361,005/x
  3. Step 3: Cross multiply
    174,982.13x = 361,005 × 361,005
  4. Step 4: Simplify right side
    174,982.13x = 130,324,610,025
  5. Step 5: Solve for x
    x = 130,324,610,025/174,982.13
  6. Step 6: Final answer
    x = 744,788.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.