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Finding the Third Proportional to 190,692 and 282,780

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Solution

The third proportional to 190,692 and 282,780 is: 419,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,692 : 282,780 = 282,780 : x
  2. Step 2: Convert to fraction form
    190,692/282,780 = 282,780/x
  3. Step 3: Cross multiply
    190,692x = 282,780 × 282,780
  4. Step 4: Simplify right side
    190,692x = 79,964,528,400
  5. Step 5: Solve for x
    x = 79,964,528,400/190,692
  6. Step 6: Final answer
    x = 419,338.66

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.