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Finding the Third Proportional to 133,037.50 and 210,622

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Solution

The third proportional to 133,037.50 and 210,622 is: 333,452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,037.50 : 210,622 = 210,622 : x
  2. Step 2: Convert to fraction form
    133,037.50/210,622 = 210,622/x
  3. Step 3: Cross multiply
    133,037.50x = 210,622 × 210,622
  4. Step 4: Simplify right side
    133,037.50x = 44,361,626,884
  5. Step 5: Solve for x
    x = 44,361,626,884/133,037.50
  6. Step 6: Final answer
    x = 333,452.05

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.