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Finding the Third Proportional to 141,725 and 311,095

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Solution

The third proportional to 141,725 and 311,095 is: 682,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,725 : 311,095 = 311,095 : x
  2. Step 2: Convert to fraction form
    141,725/311,095 = 311,095/x
  3. Step 3: Cross multiply
    141,725x = 311,095 × 311,095
  4. Step 4: Simplify right side
    141,725x = 96,780,099,025
  5. Step 5: Solve for x
    x = 96,780,099,025/141,725
  6. Step 6: Final answer
    x = 682,872.46

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