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Finding the Third Proportional to 186,738 and 284,427

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Solution

The third proportional to 186,738 and 284,427 is: 433,220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,738 : 284,427 = 284,427 : x
  2. Step 2: Convert to fraction form
    186,738/284,427 = 284,427/x
  3. Step 3: Cross multiply
    186,738x = 284,427 × 284,427
  4. Step 4: Simplify right side
    186,738x = 80,898,718,329
  5. Step 5: Solve for x
    x = 80,898,718,329/186,738
  6. Step 6: Final answer
    x = 433,220.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.