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Finding the Third Proportional to 178,634.43 and 383,171.13

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Solution

The third proportional to 178,634.43 and 383,171.13 is: 821,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,634.43 : 383,171.13 = 383,171.13 : x
  2. Step 2: Convert to fraction form
    178,634.43/383,171.13 = 383,171.13/x
  3. Step 3: Cross multiply
    178,634.43x = 383,171.13 × 383,171.13
  4. Step 4: Simplify right side
    178,634.43x = 146,820,117,020.82
  5. Step 5: Solve for x
    x = 146,820,117,020.82/178,634.43
  6. Step 6: Final answer
    x = 821,902.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.