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Finding the Third Proportional to 128,883.50 and 282,983

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Solution

The third proportional to 128,883.50 and 282,983 is: 621,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,883.50 : 282,983 = 282,983 : x
  2. Step 2: Convert to fraction form
    128,883.50/282,983 = 282,983/x
  3. Step 3: Cross multiply
    128,883.50x = 282,983 × 282,983
  4. Step 4: Simplify right side
    128,883.50x = 80,079,378,289
  5. Step 5: Solve for x
    x = 80,079,378,289/128,883.50
  6. Step 6: Final answer
    x = 621,331.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.