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Finding the Third Proportional to 183,946.50 and 284,937.75

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Solution

The third proportional to 183,946.50 and 284,937.75 is: 441,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,946.50 : 284,937.75 = 284,937.75 : x
  2. Step 2: Convert to fraction form
    183,946.50/284,937.75 = 284,937.75/x
  3. Step 3: Cross multiply
    183,946.50x = 284,937.75 × 284,937.75
  4. Step 4: Simplify right side
    183,946.50x = 81,189,521,375.06
  5. Step 5: Solve for x
    x = 81,189,521,375.06/183,946.50
  6. Step 6: Final answer
    x = 441,375.73

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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.