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Finding the Third Proportional to 186,828 and 284,562

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Solution

The third proportional to 186,828 and 284,562 is: 433,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,828 : 284,562 = 284,562 : x
  2. Step 2: Convert to fraction form
    186,828/284,562 = 284,562/x
  3. Step 3: Cross multiply
    186,828x = 284,562 × 284,562
  4. Step 4: Simplify right side
    186,828x = 80,975,531,844
  5. Step 5: Solve for x
    x = 80,975,531,844/186,828
  6. Step 6: Final answer
    x = 433,422.89

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