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Finding the Third Proportional to 174,997.13 and 270,698.63

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Solution

The third proportional to 174,997.13 and 270,698.63 is: 418,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,997.13 : 270,698.63 = 270,698.63 : x
  2. Step 2: Convert to fraction form
    174,997.13/270,698.63 = 270,698.63/x
  3. Step 3: Cross multiply
    174,997.13x = 270,698.63 × 270,698.63
  4. Step 4: Simplify right side
    174,997.13x = 73,277,745,576.89
  5. Step 5: Solve for x
    x = 73,277,745,576.89/174,997.13
  6. Step 6: Final answer
    x = 418,736.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.