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Finding the Third Proportional to 178,421 and 384,694

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Solution

The third proportional to 178,421 and 384,694 is: 829,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,421 : 384,694 = 384,694 : x
  2. Step 2: Convert to fraction form
    178,421/384,694 = 384,694/x
  3. Step 3: Cross multiply
    178,421x = 384,694 × 384,694
  4. Step 4: Simplify right side
    178,421x = 147,989,473,636
  5. Step 5: Solve for x
    x = 147,989,473,636/178,421
  6. Step 6: Final answer
    x = 829,439.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.