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Finding the Third Proportional to 175,039 and 383,963

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Solution

The third proportional to 175,039 and 383,963 is: 842,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,039 : 383,963 = 383,963 : x
  2. Step 2: Convert to fraction form
    175,039/383,963 = 383,963/x
  3. Step 3: Cross multiply
    175,039x = 383,963 × 383,963
  4. Step 4: Simplify right side
    175,039x = 147,427,585,369
  5. Step 5: Solve for x
    x = 147,427,585,369/175,039
  6. Step 6: Final answer
    x = 842,255.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.