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Finding the Third Proportional to 178,809 and 383,579

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Solution

The third proportional to 178,809 and 383,579 is: 822,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,809 : 383,579 = 383,579 : x
  2. Step 2: Convert to fraction form
    178,809/383,579 = 383,579/x
  3. Step 3: Cross multiply
    178,809x = 383,579 × 383,579
  4. Step 4: Simplify right side
    178,809x = 147,132,849,241
  5. Step 5: Solve for x
    x = 147,132,849,241/178,809
  6. Step 6: Final answer
    x = 822,849.24

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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.