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Finding the Third Proportional to 175,108.50 and 273,597.75

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Solution

The third proportional to 175,108.50 and 273,597.75 is: 427,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,108.50 : 273,597.75 = 273,597.75 : x
  2. Step 2: Convert to fraction form
    175,108.50/273,597.75 = 273,597.75/x
  3. Step 3: Cross multiply
    175,108.50x = 273,597.75 × 273,597.75
  4. Step 4: Simplify right side
    175,108.50x = 74,855,728,805.06
  5. Step 5: Solve for x
    x = 74,855,728,805.06/175,108.50
  6. Step 6: Final answer
    x = 427,481.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.