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Finding the Third Proportional to 151,600.50 and 252,645

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Solution

The third proportional to 151,600.50 and 252,645 is: 421,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,600.50 : 252,645 = 252,645 : x
  2. Step 2: Convert to fraction form
    151,600.50/252,645 = 252,645/x
  3. Step 3: Cross multiply
    151,600.50x = 252,645 × 252,645
  4. Step 4: Simplify right side
    151,600.50x = 63,829,496,025
  5. Step 5: Solve for x
    x = 63,829,496,025/151,600.50
  6. Step 6: Final answer
    x = 421,037.50

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.