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Finding the Third Proportional to 183,489 and 283,584

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Solution

The third proportional to 183,489 and 283,584 is: 438,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,489 : 283,584 = 283,584 : x
  2. Step 2: Convert to fraction form
    183,489/283,584 = 283,584/x
  3. Step 3: Cross multiply
    183,489x = 283,584 × 283,584
  4. Step 4: Simplify right side
    183,489x = 80,419,885,056
  5. Step 5: Solve for x
    x = 80,419,885,056/183,489
  6. Step 6: Final answer
    x = 438,281.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.