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Finding the Third Proportional to 181,309.50 and 392,751

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Solution

The third proportional to 181,309.50 and 392,751 is: 850,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,309.50 : 392,751 = 392,751 : x
  2. Step 2: Convert to fraction form
    181,309.50/392,751 = 392,751/x
  3. Step 3: Cross multiply
    181,309.50x = 392,751 × 392,751
  4. Step 4: Simplify right side
    181,309.50x = 154,253,348,001
  5. Step 5: Solve for x
    x = 154,253,348,001/181,309.50
  6. Step 6: Final answer
    x = 850,773.67

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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.