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Finding the Third Proportional to 141,576 and 311,127

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Solution

The third proportional to 141,576 and 311,127 is: 683,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,576 : 311,127 = 311,127 : x
  2. Step 2: Convert to fraction form
    141,576/311,127 = 311,127/x
  3. Step 3: Cross multiply
    141,576x = 311,127 × 311,127
  4. Step 4: Simplify right side
    141,576x = 96,800,010,129
  5. Step 5: Solve for x
    x = 96,800,010,129/141,576
  6. Step 6: Final answer
    x = 683,731.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.