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Finding the Third Proportional to 141,817.50 and 305,142.75

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Solution

The third proportional to 141,817.50 and 305,142.75 is: 656,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,817.50 : 305,142.75 = 305,142.75 : x
  2. Step 2: Convert to fraction form
    141,817.50/305,142.75 = 305,142.75/x
  3. Step 3: Cross multiply
    141,817.50x = 305,142.75 × 305,142.75
  4. Step 4: Simplify right side
    141,817.50x = 93,112,097,877.56
  5. Step 5: Solve for x
    x = 93,112,097,877.56/141,817.50
  6. Step 6: Final answer
    x = 656,562.82

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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.