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Finding the Third Proportional to 150,037.50 and 232,245

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Solution

The third proportional to 150,037.50 and 232,245 is: 359,495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,037.50 : 232,245 = 232,245 : x
  2. Step 2: Convert to fraction form
    150,037.50/232,245 = 232,245/x
  3. Step 3: Cross multiply
    150,037.50x = 232,245 × 232,245
  4. Step 4: Simplify right side
    150,037.50x = 53,937,740,025
  5. Step 5: Solve for x
    x = 53,937,740,025/150,037.50
  6. Step 6: Final answer
    x = 359,495.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.