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Finding the Third Proportional to 180,144 and 417,042

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Solution

The third proportional to 180,144 and 417,042 is: 965,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,144 : 417,042 = 417,042 : x
  2. Step 2: Convert to fraction form
    180,144/417,042 = 417,042/x
  3. Step 3: Cross multiply
    180,144x = 417,042 × 417,042
  4. Step 4: Simplify right side
    180,144x = 173,924,029,764
  5. Step 5: Solve for x
    x = 173,924,029,764/180,144
  6. Step 6: Final answer
    x = 965,472.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.