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Finding the Third Proportional to 166,748 and 365,119

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Solution

The third proportional to 166,748 and 365,119 is: 799,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,748 : 365,119 = 365,119 : x
  2. Step 2: Convert to fraction form
    166,748/365,119 = 365,119/x
  3. Step 3: Cross multiply
    166,748x = 365,119 × 365,119
  4. Step 4: Simplify right side
    166,748x = 133,311,884,161
  5. Step 5: Solve for x
    x = 133,311,884,161/166,748
  6. Step 6: Final answer
    x = 799,481.16

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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.