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Finding the Third Proportional to 179,812.41 and 270,179.93

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Solution

The third proportional to 179,812.41 and 270,179.93 is: 405,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,812.41 : 270,179.93 = 270,179.93 : x
  2. Step 2: Convert to fraction form
    179,812.41/270,179.93 = 270,179.93/x
  3. Step 3: Cross multiply
    179,812.41x = 270,179.93 × 270,179.93
  4. Step 4: Simplify right side
    179,812.41x = 72,997,194,405.94
  5. Step 5: Solve for x
    x = 72,997,194,405.94/179,812.41
  6. Step 6: Final answer
    x = 405,963.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.