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Finding the Third Proportional to 179,984.53 and 388,832.91

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Solution

The third proportional to 179,984.53 and 388,832.91 is: 840,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,984.53 : 388,832.91 = 388,832.91 : x
  2. Step 2: Convert to fraction form
    179,984.53/388,832.91 = 388,832.91/x
  3. Step 3: Cross multiply
    179,984.53x = 388,832.91 × 388,832.91
  4. Step 4: Simplify right side
    179,984.53x = 151,191,028,982.82
  5. Step 5: Solve for x
    x = 151,191,028,982.82/179,984.53
  6. Step 6: Final answer
    x = 840,022.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.