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Finding the Third Proportional to 180,851.06 and 392,835.94

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Solution

The third proportional to 180,851.06 and 392,835.94 is: 853,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,851.06 : 392,835.94 = 392,835.94 : x
  2. Step 2: Convert to fraction form
    180,851.06/392,835.94 = 392,835.94/x
  3. Step 3: Cross multiply
    180,851.06x = 392,835.94 × 392,835.94
  4. Step 4: Simplify right side
    180,851.06x = 154,320,073,791.50
  5. Step 5: Solve for x
    x = 154,320,073,791.50/180,851.06
  6. Step 6: Final answer
    x = 853,299.24

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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.