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Finding the Third Proportional to 183,940 and 284,920

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Solution

The third proportional to 183,940 and 284,920 is: 441,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,940 : 284,920 = 284,920 : x
  2. Step 2: Convert to fraction form
    183,940/284,920 = 284,920/x
  3. Step 3: Cross multiply
    183,940x = 284,920 × 284,920
  4. Step 4: Simplify right side
    183,940x = 81,179,406,400
  5. Step 5: Solve for x
    x = 81,179,406,400/183,940
  6. Step 6: Final answer
    x = 441,336.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.