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Finding the Third Proportional to 180,084 and 391,880

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Solution

The third proportional to 180,084 and 391,880 is: 852,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,084 : 391,880 = 391,880 : x
  2. Step 2: Convert to fraction form
    180,084/391,880 = 391,880/x
  3. Step 3: Cross multiply
    180,084x = 391,880 × 391,880
  4. Step 4: Simplify right side
    180,084x = 153,569,934,400
  5. Step 5: Solve for x
    x = 153,569,934,400/180,084
  6. Step 6: Final answer
    x = 852,768.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.