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Finding the Third Proportional to 175,125 and 373,578

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Solution

The third proportional to 175,125 and 373,578 is: 796,919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,125 : 373,578 = 373,578 : x
  2. Step 2: Convert to fraction form
    175,125/373,578 = 373,578/x
  3. Step 3: Cross multiply
    175,125x = 373,578 × 373,578
  4. Step 4: Simplify right side
    175,125x = 139,560,522,084
  5. Step 5: Solve for x
    x = 139,560,522,084/175,125
  6. Step 6: Final answer
    x = 796,919.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.