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Finding the Third Proportional to 242,811 and 365,836.50

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Solution

The third proportional to 242,811 and 365,836.50 is: 551,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,811 : 365,836.50 = 365,836.50 : x
  2. Step 2: Convert to fraction form
    242,811/365,836.50 = 365,836.50/x
  3. Step 3: Cross multiply
    242,811x = 365,836.50 × 365,836.50
  4. Step 4: Simplify right side
    242,811x = 133,836,344,732.25
  5. Step 5: Solve for x
    x = 133,836,344,732.25/242,811
  6. Step 6: Final answer
    x = 551,195.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.