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Finding the Third Proportional to 180,880 and 392,896

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Solution

The third proportional to 180,880 and 392,896 is: 853,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,880 : 392,896 = 392,896 : x
  2. Step 2: Convert to fraction form
    180,880/392,896 = 392,896/x
  3. Step 3: Cross multiply
    180,880x = 392,896 × 392,896
  4. Step 4: Simplify right side
    180,880x = 154,367,266,816
  5. Step 5: Solve for x
    x = 154,367,266,816/180,880
  6. Step 6: Final answer
    x = 853,423.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.