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Finding the Third Proportional to 175,065 and 384,027

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Solution

The third proportional to 175,065 and 384,027 is: 842,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,065 : 384,027 = 384,027 : x
  2. Step 2: Convert to fraction form
    175,065/384,027 = 384,027/x
  3. Step 3: Cross multiply
    175,065x = 384,027 × 384,027
  4. Step 4: Simplify right side
    175,065x = 147,476,736,729
  5. Step 5: Solve for x
    x = 147,476,736,729/175,065
  6. Step 6: Final answer
    x = 842,411.31

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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.