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Finding the Third Proportional to 156,955 and 227,777

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Solution

The third proportional to 156,955 and 227,777 is: 330,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,955 : 227,777 = 227,777 : x
  2. Step 2: Convert to fraction form
    156,955/227,777 = 227,777/x
  3. Step 3: Cross multiply
    156,955x = 227,777 × 227,777
  4. Step 4: Simplify right side
    156,955x = 51,882,361,729
  5. Step 5: Solve for x
    x = 51,882,361,729/156,955
  6. Step 6: Final answer
    x = 330,555.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.