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Finding the Third Proportional to 120,576.38 and 177,379.88

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Solution

The third proportional to 120,576.38 and 177,379.88 is: 260,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,576.38 : 177,379.88 = 177,379.88 : x
  2. Step 2: Convert to fraction form
    120,576.38/177,379.88 = 177,379.88/x
  3. Step 3: Cross multiply
    120,576.38x = 177,379.88 × 177,379.88
  4. Step 4: Simplify right side
    120,576.38x = 31,463,620,055.02
  5. Step 5: Solve for x
    x = 31,463,620,055.02/120,576.38
  6. Step 6: Final answer
    x = 260,943.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.