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Finding the Third Proportional to 180,845.16 and 392,824.69

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Solution

The third proportional to 180,845.16 and 392,824.69 is: 853,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,845.16 : 392,824.69 = 392,824.69 : x
  2. Step 2: Convert to fraction form
    180,845.16/392,824.69 = 392,824.69/x
  3. Step 3: Cross multiply
    180,845.16x = 392,824.69 × 392,824.69
  4. Step 4: Simplify right side
    180,845.16x = 154,311,235,109.47
  5. Step 5: Solve for x
    x = 154,311,235,109.47/180,845.16
  6. Step 6: Final answer
    x = 853,278.23

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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.