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Finding the Third Proportional to 166,365 and 360,755

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Solution

The third proportional to 166,365 and 360,755 is: 782,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,365 : 360,755 = 360,755 : x
  2. Step 2: Convert to fraction form
    166,365/360,755 = 360,755/x
  3. Step 3: Cross multiply
    166,365x = 360,755 × 360,755
  4. Step 4: Simplify right side
    166,365x = 130,144,170,025
  5. Step 5: Solve for x
    x = 130,144,170,025/166,365
  6. Step 6: Final answer
    x = 782,280.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.