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Finding the Third Proportional to 183,942 and 284,922

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Solution

The third proportional to 183,942 and 284,922 is: 441,337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,942 : 284,922 = 284,922 : x
  2. Step 2: Convert to fraction form
    183,942/284,922 = 284,922/x
  3. Step 3: Cross multiply
    183,942x = 284,922 × 284,922
  4. Step 4: Simplify right side
    183,942x = 81,180,546,084
  5. Step 5: Solve for x
    x = 81,180,546,084/183,942
  6. Step 6: Final answer
    x = 441,337.74

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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.