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Finding the Third Proportional to 166,746 and 365,115

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Solution

The third proportional to 166,746 and 365,115 is: 799,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,746 : 365,115 = 365,115 : x
  2. Step 2: Convert to fraction form
    166,746/365,115 = 365,115/x
  3. Step 3: Cross multiply
    166,746x = 365,115 × 365,115
  4. Step 4: Simplify right side
    166,746x = 133,308,963,225
  5. Step 5: Solve for x
    x = 133,308,963,225/166,746
  6. Step 6: Final answer
    x = 799,473.23

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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.