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Finding the Third Proportional to 135,535.50 and 289,755

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Solution

The third proportional to 135,535.50 and 289,755 is: 619,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,535.50 : 289,755 = 289,755 : x
  2. Step 2: Convert to fraction form
    135,535.50/289,755 = 289,755/x
  3. Step 3: Cross multiply
    135,535.50x = 289,755 × 289,755
  4. Step 4: Simplify right side
    135,535.50x = 83,957,960,025
  5. Step 5: Solve for x
    x = 83,957,960,025/135,535.50
  6. Step 6: Final answer
    x = 619,453.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.