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Finding the Third Proportional to 155,239.50 and 231,435

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Solution

The third proportional to 155,239.50 and 231,435 is: 345,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,239.50 : 231,435 = 231,435 : x
  2. Step 2: Convert to fraction form
    155,239.50/231,435 = 231,435/x
  3. Step 3: Cross multiply
    155,239.50x = 231,435 × 231,435
  4. Step 4: Simplify right side
    155,239.50x = 53,562,159,225
  5. Step 5: Solve for x
    x = 53,562,159,225/155,239.50
  6. Step 6: Final answer
    x = 345,029.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.