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Finding the Third Proportional to 180,164 and 417,092

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Solution

The third proportional to 180,164 and 417,092 is: 965,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,164 : 417,092 = 417,092 : x
  2. Step 2: Convert to fraction form
    180,164/417,092 = 417,092/x
  3. Step 3: Cross multiply
    180,164x = 417,092 × 417,092
  4. Step 4: Simplify right side
    180,164x = 173,965,736,464
  5. Step 5: Solve for x
    x = 173,965,736,464/180,164
  6. Step 6: Final answer
    x = 965,596.55

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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.