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Finding the Third Proportional to 134,503.50 and 282,949.50

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Solution

The third proportional to 134,503.50 and 282,949.50 is: 595,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,503.50 : 282,949.50 = 282,949.50 : x
  2. Step 2: Convert to fraction form
    134,503.50/282,949.50 = 282,949.50/x
  3. Step 3: Cross multiply
    134,503.50x = 282,949.50 × 282,949.50
  4. Step 4: Simplify right side
    134,503.50x = 80,060,419,550.25
  5. Step 5: Solve for x
    x = 80,060,419,550.25/134,503.50
  6. Step 6: Final answer
    x = 595,229.27

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.