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Finding the Third Proportional to 175,152.38 and 380,922.75

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Solution

The third proportional to 175,152.38 and 380,922.75 is: 828,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,152.38 : 380,922.75 = 380,922.75 : x
  2. Step 2: Convert to fraction form
    175,152.38/380,922.75 = 380,922.75/x
  3. Step 3: Cross multiply
    175,152.38x = 380,922.75 × 380,922.75
  4. Step 4: Simplify right side
    175,152.38x = 145,102,141,467.56
  5. Step 5: Solve for x
    x = 145,102,141,467.56/175,152.38
  6. Step 6: Final answer
    x = 828,433.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.