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Finding the Third Proportional to 84,496.50 and 158,350.50

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Solution

The third proportional to 84,496.50 and 158,350.50 is: 296,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,496.50 : 158,350.50 = 158,350.50 : x
  2. Step 2: Convert to fraction form
    84,496.50/158,350.50 = 158,350.50/x
  3. Step 3: Cross multiply
    84,496.50x = 158,350.50 × 158,350.50
  4. Step 4: Simplify right side
    84,496.50x = 25,074,880,850.25
  5. Step 5: Solve for x
    x = 25,074,880,850.25/84,496.50
  6. Step 6: Final answer
    x = 296,756.44

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.