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Finding the Third Proportional to 183,469 and 383,583

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Solution

The third proportional to 183,469 and 383,583 is: 801,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,469 : 383,583 = 383,583 : x
  2. Step 2: Convert to fraction form
    183,469/383,583 = 383,583/x
  3. Step 3: Cross multiply
    183,469x = 383,583 × 383,583
  4. Step 4: Simplify right side
    183,469x = 147,135,917,889
  5. Step 5: Solve for x
    x = 147,135,917,889/183,469
  6. Step 6: Final answer
    x = 801,966.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.