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Finding the Third Proportional to 155,500.50 and 339,148.50

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Solution

The third proportional to 155,500.50 and 339,148.50 is: 739,687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,500.50 : 339,148.50 = 339,148.50 : x
  2. Step 2: Convert to fraction form
    155,500.50/339,148.50 = 339,148.50/x
  3. Step 3: Cross multiply
    155,500.50x = 339,148.50 × 339,148.50
  4. Step 4: Simplify right side
    155,500.50x = 115,021,705,052.25
  5. Step 5: Solve for x
    x = 115,021,705,052.25/155,500.50
  6. Step 6: Final answer
    x = 739,687.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.