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Finding the Third Proportional to 177,408 and 384,372

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Solution

The third proportional to 177,408 and 384,372 is: 832,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,408 : 384,372 = 384,372 : x
  2. Step 2: Convert to fraction form
    177,408/384,372 = 384,372/x
  3. Step 3: Cross multiply
    177,408x = 384,372 × 384,372
  4. Step 4: Simplify right side
    177,408x = 147,741,834,384
  5. Step 5: Solve for x
    x = 147,741,834,384/177,408
  6. Step 6: Final answer
    x = 832,780.00

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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.