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Finding the Third Proportional to 197,500.50 and 385,146

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Solution

The third proportional to 197,500.50 and 385,146 is: 751,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,500.50 : 385,146 = 385,146 : x
  2. Step 2: Convert to fraction form
    197,500.50/385,146 = 385,146/x
  3. Step 3: Cross multiply
    197,500.50x = 385,146 × 385,146
  4. Step 4: Simplify right side
    197,500.50x = 148,337,441,316
  5. Step 5: Solve for x
    x = 148,337,441,316/197,500.50
  6. Step 6: Final answer
    x = 751,073.75

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.