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Finding the Third Proportional to 135,715.50 and 297,675

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Solution

The third proportional to 135,715.50 and 297,675 is: 652,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,715.50 : 297,675 = 297,675 : x
  2. Step 2: Convert to fraction form
    135,715.50/297,675 = 297,675/x
  3. Step 3: Cross multiply
    135,715.50x = 297,675 × 297,675
  4. Step 4: Simplify right side
    135,715.50x = 88,610,405,625
  5. Step 5: Solve for x
    x = 88,610,405,625/135,715.50
  6. Step 6: Final answer
    x = 652,912.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.