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Finding the Third Proportional to 180,168 and 417,102

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Solution

The third proportional to 180,168 and 417,102 is: 965,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,168 : 417,102 = 417,102 : x
  2. Step 2: Convert to fraction form
    180,168/417,102 = 417,102/x
  3. Step 3: Cross multiply
    180,168x = 417,102 × 417,102
  4. Step 4: Simplify right side
    180,168x = 173,974,078,404
  5. Step 5: Solve for x
    x = 173,974,078,404/180,168
  6. Step 6: Final answer
    x = 965,621.41

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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.