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Finding the Third Proportional to 177,462 and 384,432

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Solution

The third proportional to 177,462 and 384,432 is: 832,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,462 : 384,432 = 384,432 : x
  2. Step 2: Convert to fraction form
    177,462/384,432 = 384,432/x
  3. Step 3: Cross multiply
    177,462x = 384,432 × 384,432
  4. Step 4: Simplify right side
    177,462x = 147,787,962,624
  5. Step 5: Solve for x
    x = 147,787,962,624/177,462
  6. Step 6: Final answer
    x = 832,786.53

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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.