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Finding the Third Proportional to 175,392 and 384,372

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Solution

The third proportional to 175,392 and 384,372 is: 842,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,392 : 384,372 = 384,372 : x
  2. Step 2: Convert to fraction form
    175,392/384,372 = 384,372/x
  3. Step 3: Cross multiply
    175,392x = 384,372 × 384,372
  4. Step 4: Simplify right side
    175,392x = 147,741,834,384
  5. Step 5: Solve for x
    x = 147,741,834,384/175,392
  6. Step 6: Final answer
    x = 842,352.18

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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.