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Finding the Third Proportional to 178,605 and 381,763.13

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Solution

The third proportional to 178,605 and 381,763.13 is: 816,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,605 : 381,763.13 = 381,763.13 : x
  2. Step 2: Convert to fraction form
    178,605/381,763.13 = 381,763.13/x
  3. Step 3: Cross multiply
    178,605x = 381,763.13 × 381,763.13
  4. Step 4: Simplify right side
    178,605x = 145,743,083,609.77
  5. Step 5: Solve for x
    x = 145,743,083,609.77/178,605
  6. Step 6: Final answer
    x = 816,007.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.