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Finding the Third Proportional to 190,579.50 and 278,704.13

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Solution

The third proportional to 190,579.50 and 278,704.13 is: 407,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,579.50 : 278,704.13 = 278,704.13 : x
  2. Step 2: Convert to fraction form
    190,579.50/278,704.13 = 278,704.13/x
  3. Step 3: Cross multiply
    190,579.50x = 278,704.13 × 278,704.13
  4. Step 4: Simplify right side
    190,579.50x = 77,675,989,292.02
  5. Step 5: Solve for x
    x = 77,675,989,292.02/190,579.50
  6. Step 6: Final answer
    x = 407,577.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.