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Finding the Third Proportional to 166,177.50 and 365,583

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Solution

The third proportional to 166,177.50 and 365,583 is: 804,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,177.50 : 365,583 = 365,583 : x
  2. Step 2: Convert to fraction form
    166,177.50/365,583 = 365,583/x
  3. Step 3: Cross multiply
    166,177.50x = 365,583 × 365,583
  4. Step 4: Simplify right side
    166,177.50x = 133,650,929,889
  5. Step 5: Solve for x
    x = 133,650,929,889/166,177.50
  6. Step 6: Final answer
    x = 804,266.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.