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Finding the Third Proportional to 166,294.50 and 364,777.50

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Solution

The third proportional to 166,294.50 and 364,777.50 is: 800,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,294.50 : 364,777.50 = 364,777.50 : x
  2. Step 2: Convert to fraction form
    166,294.50/364,777.50 = 364,777.50/x
  3. Step 3: Cross multiply
    166,294.50x = 364,777.50 × 364,777.50
  4. Step 4: Simplify right side
    166,294.50x = 133,062,624,506.25
  5. Step 5: Solve for x
    x = 133,062,624,506.25/166,294.50
  6. Step 6: Final answer
    x = 800,162.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.