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Finding the Third Proportional to 187,441.50 and 299,790

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Solution

The third proportional to 187,441.50 and 299,790 is: 479,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,441.50 : 299,790 = 299,790 : x
  2. Step 2: Convert to fraction form
    187,441.50/299,790 = 299,790/x
  3. Step 3: Cross multiply
    187,441.50x = 299,790 × 299,790
  4. Step 4: Simplify right side
    187,441.50x = 89,874,044,100
  5. Step 5: Solve for x
    x = 89,874,044,100/187,441.50
  6. Step 6: Final answer
    x = 479,477.83

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.