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Finding the Third Proportional to 146,410.50 and 305,529

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Solution

The third proportional to 146,410.50 and 305,529 is: 637,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,410.50 : 305,529 = 305,529 : x
  2. Step 2: Convert to fraction form
    146,410.50/305,529 = 305,529/x
  3. Step 3: Cross multiply
    146,410.50x = 305,529 × 305,529
  4. Step 4: Simplify right side
    146,410.50x = 93,347,969,841
  5. Step 5: Solve for x
    x = 93,347,969,841/146,410.50
  6. Step 6: Final answer
    x = 637,577.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.