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Finding the Third Proportional to 180,160 and 417,082

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Solution

The third proportional to 180,160 and 417,082 is: 965,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,160 : 417,082 = 417,082 : x
  2. Step 2: Convert to fraction form
    180,160/417,082 = 417,082/x
  3. Step 3: Cross multiply
    180,160x = 417,082 × 417,082
  4. Step 4: Simplify right side
    180,160x = 173,957,394,724
  5. Step 5: Solve for x
    x = 173,957,394,724/180,160
  6. Step 6: Final answer
    x = 965,571.68

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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.