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Finding the Third Proportional to 166,884 and 367,140

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Solution

The third proportional to 166,884 and 367,140 is: 807,697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,884 : 367,140 = 367,140 : x
  2. Step 2: Convert to fraction form
    166,884/367,140 = 367,140/x
  3. Step 3: Cross multiply
    166,884x = 367,140 × 367,140
  4. Step 4: Simplify right side
    166,884x = 134,791,779,600
  5. Step 5: Solve for x
    x = 134,791,779,600/166,884
  6. Step 6: Final answer
    x = 807,697.44

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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.