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Finding the Third Proportional to 144,731 and 311,611

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Solution

The third proportional to 144,731 and 311,611 is: 670,909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,731 : 311,611 = 311,611 : x
  2. Step 2: Convert to fraction form
    144,731/311,611 = 311,611/x
  3. Step 3: Cross multiply
    144,731x = 311,611 × 311,611
  4. Step 4: Simplify right side
    144,731x = 97,101,415,321
  5. Step 5: Solve for x
    x = 97,101,415,321/144,731
  6. Step 6: Final answer
    x = 670,909.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.