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Finding the Third Proportional to 173,149.50 and 265,965.75

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Solution

The third proportional to 173,149.50 and 265,965.75 is: 408,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,149.50 : 265,965.75 = 265,965.75 : x
  2. Step 2: Convert to fraction form
    173,149.50/265,965.75 = 265,965.75/x
  3. Step 3: Cross multiply
    173,149.50x = 265,965.75 × 265,965.75
  4. Step 4: Simplify right side
    173,149.50x = 70,737,780,173.06
  5. Step 5: Solve for x
    x = 70,737,780,173.06/173,149.50
  6. Step 6: Final answer
    x = 408,535.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.