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Finding the Third Proportional to 186,846 and 289,449

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Solution

The third proportional to 186,846 and 289,449 is: 448,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,846 : 289,449 = 289,449 : x
  2. Step 2: Convert to fraction form
    186,846/289,449 = 289,449/x
  3. Step 3: Cross multiply
    186,846x = 289,449 × 289,449
  4. Step 4: Simplify right side
    186,846x = 83,780,723,601
  5. Step 5: Solve for x
    x = 83,780,723,601/186,846
  6. Step 6: Final answer
    x = 448,394.53

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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.