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Finding the Third Proportional to 141,720 and 311,085

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Solution

The third proportional to 141,720 and 311,085 is: 682,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,720 : 311,085 = 311,085 : x
  2. Step 2: Convert to fraction form
    141,720/311,085 = 311,085/x
  3. Step 3: Cross multiply
    141,720x = 311,085 × 311,085
  4. Step 4: Simplify right side
    141,720x = 96,773,877,225
  5. Step 5: Solve for x
    x = 96,773,877,225/141,720
  6. Step 6: Final answer
    x = 682,852.65

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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.